Function Family Album Project

Function Family Album Project

Atticus Taylor

Absolute Value

PARENT FUNCTION

Parent Function Equation: y=|x|

Equation of Inverse: x=|y|

Domain: (∞,∞) All Real Numbers

Range: [0,∞)

TRANSFORMATION

X-int: 0

Y-int: 0

Asymptote

X and Y Intercept

Linear

PARENT FUNCTION

REAL WORLD EXAMPLE

Parent Function Equation: y=x

Equation of Inverse: x=y

Domain: (∞,∞) All Real Numbers

Range: (∞,∞) All Real Numbers

X-int: 0

Y-int: 0

X and Y Intercept

TRANSFORMATION

REAL WORLD EXAMPLE

Logarithmic

PARENT FUNCTION

Parent Function Equation: y=log(x)

Equation of Inverse: x=log(y)

Domain: (0,∞)

Range: (∞,∞) All Real Numbers

Asymptote

X-int: 0

Y-int: Does Not Exist

X Intercept

REAL WORLD EXAMPLE

TRANSFORMATION

Exponential

TRANSFORMATION

PARENT FUNCTION

Parent Function Equation: y=2^x

Equation of Inverse: x=2^y

Domain: (∞,∞) All Real Numbers

Range: (0,∞)

X-int: Does Not Exist

Y-int: 1

Y Intercept

Asymptote

REAL WORLD EXAMPLE

Piecewise Function

TRANSFORMATION

REAL WORLD EXAMPLE

PARENT FUNCTION

/ 1/3x+2 x≤-3

Parent Function Equation: f(x)| |2x-3| -3<x≤5

\ (x-7)^3 5<x

/ 1/3y+2 y≤-3

Parent Function Equation: f(y)| |2y-3| -3<y≥5

\ (y-7)^3 5<y

Domain: (-∞,-3] (-3,5] (5,∞)

Range: (-∞,1] [4,2) (-8,∞)

X Intercepts

X-int: -6,-1,4,7

Y-int:

-2

Y Intercept

Square Root

PARENT FUNCTION

Parent Function Equation: y=√x

Equation of Inverse: x=√y

Domain: [0,∞)

Range: [0,∞)

X-int: 0

Y-int: 0

Asymptotes

TRANSFORMATION

X and Y Intercept

REAL WORLD EXAMPLE

Quadratic

TRANSFORMATION

PARENT FUNCTION

Parent Function Equation: y=x^2

Equation of Inverse: x=y^2

Domain: (∞,∞) All Real Numbers

Range: [0,∞)

X-int: 0

Y-int: 0

Asymptote

REAL WORLD EXAMPLE

X and Y Intercept