Match the Functions
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Transformations
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Piecewise Functions
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100

Which letters represent the Square Root Function?

H & I

100

Which letters represent the Cubic Function?

A & N

100

Write a function g(x) for the given transformation of f(x)=x.

Reflected Down (x-axis) & Translated Up 6

g(x) = -x + 6

100

What transforms f(x) = x- 4 to g(x) = 3(x+2)- 7?

Vertically Stretched by 3

Translated Left 2

Translated Down 3

100

Evaluate the following piecewise function for f(3).

f(3) = 5

100

Graph the following piecewise function.

200

Which letters represent the Exponential Function?

E & M

200

Which letters represent the Absolute Value Function?

D & K

200

Write a function for the given transformation of f(x)=x2.

Vertically Compressed by 1/4 Translated Right 2

g(x)=1/4(x-2)^2

200

Write the translated function from the parent function from the graph.

f(x)=-(x+2)^2+2

200

Evaluate the following piecewise function for f(-2).

f(-2) = -8

200

Graph the following piecewise function.

300

Which letters represent a Linear Function?

C & L

300

Which letters represent the Logarithmic Function?

B & P

300

Vertically stretch the following function by 4 and shift it left 3. Call it g(x).

f(x)=sqrt(x+5)

g(x)=4sqrt(x+8)

300

Write the translated function from the parent function from the graph.

f(x)=(x-3)^3

300

Evaluate the following piecewise function for f(-4).

f(-4) = 0

300

Write the piecewise function from the graph.

f(x) = x , x < 0

f(x) = 2x , x >= 0

400

Which letters represent the Rational Function?

G & J

400

Which letters represent the Quadratic Function?

F & O

400

Reflect the following function across the y-axis and horizontally compress it by 1/5. Call it g(x).

f(x)=x^2-3

g(x)=(-5x)^2-3

400

State the domain and range of the graph below.

Domain: [-4, infinity)

Range: [0, infinity)

400

Evaluate the following piecewise function for f(1).

f(1) = -4

400

Write the piecewise function from the graph.

f(x) = x2+3 , x > 0

f(x) = -x-2 , x <= 0