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front 1 If f(x) = 3x + 1nx, find f | back 1 1 |

front 2 Solve each equation for x a) 1nx = 4 b)e | back 2 x = e4, x = ln(ln 2) |

front 3 Simplify the expression sin (2cos | back 3 8x√1-16x |

front 4 Fill in the blanks Let f(x) = 5 + x | back 4 5,3 |

front 5 Determine whether f is even, odd, or neither f(x) = 8x | back 5 even |

front 6 Find the range of the function h(x) = √4 - x | back 6 0 ≤ h(x) ≤ 2 |

front 7 The graphs of f(x) and g(x)are given. | back 7 a) -2, 10 |

front 8 A spherical balloon with radius r inches has volume 4/3 πr. | back 8 4/3 π(3r |

front 9 It makes sense that the larger the area of a region, the larger the
number of species that inhabit the region. Many ecologists have
modeled the species-area relation with a power function and, in
particular, the number of species S of bats living in caves in central
Mexico has been related to the surface area A measured in
m | back 9 a) 3 species |

front 10 The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. F = 9/5 C + 32 Complete the table and find the slope. | back 10 (10,50)(-18,0);slope = 2 |

front 11 Plot the graph of the function in (a) the standard viewing window and (b) the indicated window f(x) = x√7-x | back 11 |

front 12 Plot the graph of the function f in an appropriate viewing window. f(x) = 2x | back 12 |

front 13 Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. f(x) = 0.3x g(x) = -0.2x | back 13 (-3.30104, 3.40021), (6.30104, 1.47979) |

front 14 Determine whether f is one-to-one. | back 14 Yes |

front 15 | back 15 f(-4) = 19, f(0) = 3, f(1) = 1 |

front 16 Refer to the graph of the function f in the following figure. a. Find f (3). | back 16 a. 0 |

front 17 Let f(x) = x2 -6x + 7 and g(x) = √x+3, Find (g ⚬ f)(9) | back 17 √37 |

front 18 Find f ⚬ g ⚬ h if f(x) = √x, g(x) = 7x + 4, and h(x) x | back 18 √7x |

front 19 Let f(x) = | back 19 -6 |

front 20 Find the function g such that h(x) = (g ⚬ f)(x) h(x) = sin | back 20 g(x) = x |

front 21 Find all solutions of the equation correct to two decimal places. √x = x | back 21 1.75 |

front 22 Solve each equation for x a) ln x = 6 | back 22 x = e |

front 23 Find the exact value of the expression. tan(arcsin 1/2} | back 23 √3/3 |

front 24 Find the range of the function h(x) = √25-x | back 24 0≤h(x)≤5 |

front 25 Express the function in the form of f ⚬ g ⚬ h H(x) = 3 - 6 | back 25 h(x) = x |

front 26 Plot the graph of the function f in an appropriate viewing window.
| back 26 |

front 27 Find the points of intersection of the graphs of the functions.
Express your answers accurate to five decimal places. | back 27 (–3.22169, 3.57981), (6.02169, 0.25219) |

front 28 Determine whether f is one-to-one. | back 28 No |

front 29 The graph of f is given. Sketch the graph of f | back 29 |

front 30 Find the inverse of f. Then sketch the graphs of f and f f(x) = cos | back 30 f |

front 31 | back 31 f(-1) = 9, f(0) = 8, f(1) = 1 |

front 32 Refer to the graph of the function f in the following figure. a. Find f(0). | back 32 a. 0 |

front 33 Determine whether the function is even, odd, or neither. f(x) = 2x | back 33 Neither |

front 34 The following figure shows a portion of the graph of a function f defined on the interval [-1,1]. Sketch the complete graph of f if it is known f is odd. | back 34 |

front 35 By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 13 in. long and 9 in. wide and the square cutaways have dimensions of x in. by x in., find a function that gives the volume of the resulting box. | back 35 V = 4x |

front 36 Use the vertical line test to determine whether the curve is the graph of a function of x. | back 36 Yes |

front 37 Let f(x) = x2 - 18x + 80 and g(x) = √x+2. Find (g ⚬ f)(17) | back 37 √65 |

front 38 Find f ⚬ g ⚬ h if f(x) = x-1/x+1, g(x) = | back 38 |

front 39 Let f(x) = x | back 39 70 |

front 40 Find the function g such that h(x) = (g ⚬ f)(x). h(x) = 1/6x-5 and f(x) = 6x-5 | back 40 g(x) = 1/x |

front 41 Find the points of intersection of the graphs of the functions.
Express your answers accurate to five decimal places. a. (–0.55126, –5.84352), | back 41 d |

front 42 Starting with the graph of y = e a. y = -e | back 42 b |

front 43 Use the Law of Exponents to rewrite and simplify the expression. | back 43 a |

front 44 Starting with the graph of y = e | back 44 c |

front 45 Suppose that the graph of y = log | back 45 b |

front 46 Find the exact value of the given expression. | back 46 b |

front 47 Use the laws of logarithms to expand the expression. | back 47 b |

front 48 Simplify the expression. e a. 9 | back 48 c |

front 49 Find a formula for the inverse of the function. y = ln(x + 6) a. y = e | back 49 a |

front 50 Find the exact value of the expression. log a. 7 | back 50 d |

front 51 The graphs of f(x) and g(x) are given. For what values of x is f(x) = g(x)? | back 51 e |

front 52 Which of the following graphs is neither even nor odd? | back 52 b |

front 53 A rectangle has perimeter 14m. Express the area of the rectangle as a
function A(l) of the length of one of its sides. | back 53 a |

front 54 What is the equation of this graph? a. y = x | back 54 e |

front 55 Find the domain | back 55 d |

front 56 Find the range of the function | back 56 e |

front 57 The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. F = 9/5 C + 32 What is the F-intercept and what does it represent a. 9/5, Fahrenheit temperature corresponding to 0°C | back 57 e |

front 58 If f(x) = x + 5 and h(x) = 4x - 10, find a function g such that g ⚬ f
= h. | back 58 d |

front 59 The graph of the function f follows. Choose the graph of y = f(|x|) | back 59 d |

front 60 Which of the following graphs is the graph of the function? f(x) = sin |2x| a. Graph 2 | back 60 a |

front 61 Find all solutions of the equation correct to two decimal places. x3 - 9x2 - 100 = 0 a. x = 10 | back 61 a |

front 62 Use the Law of Exponents to rewrite and simplify the expression. | back 62 b |

front 63 Starting with the graph of y = e | back 63 e |

front 64 Find the inverse function of f(x) = x+1/4x+1 | back 64 e |

front 65 Find f f(x) = x a. 2 | back 65 b |

front 66 Find the inverse of f. Then sketch the graphs of f and f f(x) = √4-x | back 66 a |

front 67 Find the exact value of the given expression a. -1/2 | back 67 b |

front 68 Simplify the expression. e a. 12 | back 68 c |

front 69 A box with an open top is to be constructed from a rectangular piece of card board with dimensions b = 9 in. by a = 24 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. | back 69 b |

front 70 A rectangle has perimeter 22m. Express the area of the rectangle as a
function A(l) of the length l of one of its sides. | back 70 d |

front 71 If f(x) = 4x | back 71 d |

front 72 Find the domain and sketch the graph of the function. What is its range? | back 72 c |

front 73 The graph of the function f is given. State the value of f(0).
| back 73 d |

front 74 What is the equation of this graph? | back 74 c |

front 75 The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. F = 9/5 C + 32 What is the F-intercept and what does it represent? | back 75 e |

front 76 Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations. y = 1 + 2x - x | back 76 b |

front 77 Suppose that the graph f is given. Describe how the graph of the
function y = f(x - 3) - 3 can be obtained from the graph of f.
| back 77 a |

front 78 Which of the following graphs is the graph of the function? f(x) = sin |3x| a. Graph 3 | back 78 c |

front 79 Find the function f/g and its domain if f(x) = x/x-7 and g(x) = x/x+7. | back 79 a |

front 80 The graph of the function f(x) = x | back 80 a |

front 81 Sandy wishes to have a rectangular garden in her backyard. She has 40
ft of fencing with which to enclose her garden. Letting x denote the
width of the garden, find a function f in the variable x that gives
the area of the garden. Select the correct answer. | back 81 b |

front 82 An open rectangular box with volume 2m | back 82 S(x) = x |

front 83 Determine whether f is even, odd, or neither. Select the correct answer. f(x) = 4x a. neither | back 83 c |

front 84 The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her $200 to drive 300mi and in July it cost her $350 to drive 600mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model. | back 84 C = 0.5d + 50 |

front 85 If f(x) = x + 5 and h(x) = 4x - 10, find a function g such that g ⚬ f = h. | back 85 g(x) = 4x - 30 |

front 86 The graph of the function f follows. Choose the graph of y = f(|x|) | back 86 d |

front 87 Sketch the graph of y = -1 - cos x over one period. | back 87 |

front 88 Find the function f g and its domain if f(x) = √x+7 and g(x) = √x-7 . | back 88 √x |

front 89 If a ball is thrown into the air with a velocity of 58ft/s, its height (in feet) after t seconds is given by H = 58t - 9t Find the velocity when t = 9. Select the correct answer.
| back 89 b |

front 90 The position of a car is given by the values in the following table. t (seconds) 0, 1, 2, 3, 4 Find the average velocity for the time period beginning when t = 2 and lasting 2 seconds. | back 90 33.2 ft/s |

front 91 Find the value of lim f(x) = 1/1+6 a. 0 | back 91 a |

front 92 Find the vertical asymptotes of the function. y = 8x | back 92 none of these |

front 93 Find the limit lim | back 93 -7 |

front 94 Find the limit lim | back 94 b |

front 95 Evaluate the limit, if it exists. lim | back 95 -6x |

front 96 Find the limit. lim | back 96 -∞ |

front 97 Determine where f is discontinuous. | back 97 0 and 5 |

front 98 If f and g are continuous functions with f(9) = 6 and
lim a. g(9) = 21 | back 98 e |

front 99 How would you define f(7) in order to make f continuous at 7? f(x) = x | back 99 f(7) = 12 |

front 100 Use the graph to determine where the function is discontinuous. a. At 0 | back 100 c |

front 101 Plot the graph of the function f in an appropriate viewing window. Select the correct answer. f(x) - x | back 101 a |

front 102 Plot the graph of the function f in an appropriate viewing window. f(x) = x + 0.02 sin 40x | back 102 |

front 103 Use the Law of Exponents to rewrite and simplify the expression. | back 103 a |

front 104 Starting with the graph of y = e | back 104 b |

front 105 Use the Law of Exponents to rewrite and simplify the expression. x | back 105 x |

front 106 Starting with the graph of y = e | back 106 c |

front 107 Find the inverse of f. Then sketch the graphs of f and f f(x) = √4-x | back 107 d |

front 108 Solve the equation. 4e | back 108 x = ln 1/2 - 5 |

front 109 When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor, which stores electric charge given by Q(t) = Q (The maximum charge capacity is Q | back 109 -3ln(1/10) seconds |

front 110 If f(x) = x2 - x + 6, evaluate the difference quotient f(a+h)-f(a)/h.
Select the correct answer. | back 110 e |

front 111 A rectangle has perimeter 14m. Express the area of the rectangle as a function A(l) of the length l of one of its sides. | back 111 A(l) = 7l - l |

front 112 The graph shown gives the weight of a certain person as a function of age. Find the age at which the person started an exercise program. | back 112 30 |

front 113 What is the equation of this graph? | back 113 y = x |

front 114 F = 9/5 C + 32 What is the F-intercept and what does it represent? | back 114 32, Fahrenheit temperature corresponding to 0°C |

front 115 Classify the function as a Polynomial function, a Rational function, an algebraic function, or other. f(x) = -8x Select the correct answer. | back 115 c |

front 116 Use the table to evaluate the expression (f ⚬ g)(6). | back 116 2 |

front 117 | back 117 f(x) |

front 118 Which of the following is the equation for the function g(x)? Select
the correct answer. | back 118 d |

front 119 The graph of the function f(x) = x | back 119 g(x) = x |

front 120 Plot the graph of the function f in an appropriate viewing window. f(x) = x | back 120 |

front 121 Plot the graph of the function f in an appropriate viewing window. f(x) = x + 0.05sin50x | back 121 |

front 122 Starting with the graph of y = e | back 122 d |

front 123 Use the Law of Exponents to rewrite and simplify the expression. x | back 123 x |

front 124 If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n = f(t) = 100(2 When will the population reach 55,000? Round the answer to the
nearest tenth. | back 124 b |

front 125 Find f | back 125 b |

front 126 Find the exact value of the given expression. sin | back 126 π/6 |

front 127 Use the laws of logarithms to expand the expression. ln(x+4/x-5) | back 127 1/2 ln (x + 4) - 1/2 ln (x - 5) |

front 128 Simplify the expression. Select the correct answer. e a. 25 | back 128 a |

front 129 If f(x) = x2 - x + 6, evaluate the difference quotient f(a+h)-f(a)/h. | back 129 none of these |

front 130 A rectangle has perimeter 12m. Express the area of the rectangle as a
function A(l) of the length l of one of its sides. Select the correct
answer. | back 130 c |

front 131 Find the domain of the function f(x) = x/-5sinx+7 | back 131 (-∞, ∞) |

front 132 The graph shown gives the weight of a certain person as a function of
age. Find the age at which the person started an exercise program.
Select the correct answer. | back 132 d |

front 133 An open rectangular box with volume 6m | back 133 S(x) = x |

front 134 Determine whether f is even, odd, or neither. Select the correct answer. f(x) = 6x a. neither | back 134 b |

front 135 Find the range of the function. y = 4 + cos x | back 135 [3,5] |

front 136 If f(x) = x + 5 and h(x) = 4x - 10, find a function g such that g ⚬ f = h. | back 136 g(x) = 4x - 30 |

front 137 The graph of the function follows. Choose the graph of y = |f(x)| | back 137 c |

front 138 Suppose that the graph of is given f is given. Describe how the graph of the function y = f(x - 3) - 3 can be obtained from the graph of f. Select the correct answer. a. Shift the graph 3 units to the right and 3 units down. | back 138 a |

front 139 Which of the following graphs is the graph of the function? f(x) = sin|2x| | back 139 graph 2 |

front 140 Plot the graph of the function f in an appropriate viewing window. f(x) = x | back 140 |

front 141 Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. Select the correct answer. f (x) = 0.5x a. (–0.55126, –5.84352), | back 141 d |

front 142 The function f(x) = √4+cx | back 142 c > 0 |

front 143 Find the inverse function of f(x) = x+1/3x+1 | back 143 f |

front 144 Determine whether the function is one-to-one. f(x) = √4-x a. Yes | back 144 b |

front 145 Find the exact value of the given expression. tan | back 145 π/4 |

front 146 Use the laws of logarithms to expand the expression. ln(x+5/x-6) | back 146 1/2ln(x + 5) - 1/2ln(x - 6) |

front 147 Simplify the expression. Select the correct answer. e a. 9 | back 147 c |

front 148 Solve the equation 4e | back 148 x = ln 1/2 - 5 |

front 149 A box with an open top is to be constructed from a rectangular piece of card board with dimensions b = 4 in. by a = 28 in. by cutting out equal squares of side at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. | back 149 V(x) = 4x |

front 150 Find an expression for the function y = f(x) whose graph is the
bottom half of the parabola x + (6 - y) | back 150 a |

front 151 Find the domain of the function. f(x) = 7x+1/x | back 151 (-∞,0)∪(0,∞) |

front 152 Find the domain and sketch the graph of the function. What is its range? | back 152 D: (-∞,∞) |

front 153 Find the domain. Select the correct answer. g(u) = √u - √3-u a. (0,3) | back 153 d |

front 154 Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations. y = 4 + 2x - x | back 154 |

front 155 The graph of the function follows. Choose the graph of y = 1/2f(x - 1) | back 155 a |

front 156 Sketch the graph of y = -1-cosx over one period. | back 156 |

front 157 Find the function f ⚬ g and its domain if f(x) = x-1/x and g(x) = x/x+3. | back 157 -3/x D = (-∞,-3)∪(-3,0)∪(0,∞) |

front 158 The graph of the function f(x) = x | back 158 c |