f(x)=x
D- All Real Numbers
R- All Real Numbers
Zeros- x=0
Symmetry- Origin
f(x)=x^2
D- All Real Numbers
R- [0, infity]
Zeros- x=0
Symmetry- y-axis
f(x)=x^3
D- All Real Numbers
R- All Real Numbers
Zeros- x=0
Symmetry- Origin
f(x)=/x (square root of x)
D-[0,infinity]
R-{0, infinity]
Zero-x=0
Symmetry- none
f(x)=3/x (cubic root of x)
D- All Real Numbers
R- All Real Numbers
Zero- x=0
Symmetry- origin
f(x)=1/x
D-(-infinity, 0) U (0, infinity)
R-(-infinity, 0) U (0, infinity)
Zeros- x=0
Symmetry- Origin
f(x)=1/x^2
D-(-infinity, 0) U (0, infinity)
R- (0, infinity)
Zeros- None
Symmetry- Y-axis
f(x)-ln x
D- (0, infinity) or x>0
R- All Real Numbers
Zeros- x=1
Symmetry- None
f(x)=e^x
D-All Real Numbers
R-(0, infinity) or y>0
Zeros- None
Symmetry- None
f(x)=|x|
D- All Real Numbers
R- (0, infinity)
Zeros- x=0
Symmetry- y-axis
f(x)= |x|/x SIGNUM FUNCTION
D- (-infinity, 0) U (0, Infinity)
R- y E {-1,1}
Zeros- None
Symmetry- Origin
f(x)=[x]
D-All Real Numbers
R- Z(all integers)
Zeros- x=0
Symmetry- None
y= /a^2 - x^2 (square root of a^2 - x^2)
D- [-a,a]
R-[0, a]
Zeros- x= -a, a
Symmetry- y-axis
y= /x^2 - a^2 (square root of x^2 - a^2)
D- [-infinity, -a] u [a, infinity]
R- (0, infinity)
Zeros- x=-a, a
Symmetry- y- axis
f(x)= sin x
D- All Real Numbers
R- [-1,1]
Zeros- x= - (pie), 0, (pie)
f(x)= cos x
D- All Real Numbers
R- [-1, 1]
Zeros- -(pie/2), 0, (pie/2)
Symmetry- origin
f(x)= tan x
D- x =/ n(pie)/2
R- All Real Numbers
Zeros- x= -(pie), 0, (pie)
Symmetry- Origin