Parent Functions and tables

y=x

y=x^2

y=x^3

Cube Root Parent Function

Square Root Parent Function

Absolute Value Parent Function

Exponential Parent Function

y=1/x

y=1/x^2

Domain of 1/x

x ≠ 0

Domain of 1/x^2

x ≠ 0

Domain of Absolute Value, Linear, Quadratic, Cubic Families

All Reals

domain of cube root function

all reals

domain of square root function

x>=0

Range of Quadratic, Linear, Cubic, Absolute Value Families

All Reals

Range of Square Root Function

y>=0

Range of Cube Root Function

All Reals

Range of 1/x

y ≠ 0

Range of 1/x^2

y ≠ 0

domain of exponential function

all real numbers

Range of Exponential Function

y>0

Asymptotes of Exponential Functions

y=0

Asymptotes of 1/x

x=0 and y=0

Asymptotes of 1/x^2

x=0 and y=0

Line of Symmetry of Quadratic Function

x=0

Line of Symmetry of Absolute Value Function

x=0

Symmetry of 1/x

Rotational Symmetry (origin) and Reflectional Symmetry (y=x and y=-x)

Symmetry of 1/x^2

Reflectional Symmetry (x=0)

y=sqrt(x)

y=x

y=x^2

y=|x|

y=x^3

y= cube root (x)

y=b^x

y=log(base b) (x) --> y=log(x) or y=ln(x)

y=1/x

y=log(x)

Asymptote of Logarithmic Function

x=0

The Domain of a Logarithmic Function

x>0

range of logarithmic function

All reals