Free Printable Functions Review

1.

Who am I ?

a)

cube root

b)

cubic

c)

quadratic

d)

logarithmic

2.

a)

linear

b)

cube root

c)

square root

d)

quadratic

3.

a)

inverse

b)

inverse squared

c)

logarithmic

d)

exponential

4.

a)

inverse

b)

inverse squared

c)

logarithmic

d)

exponential

5.

If f(x) = 3x -1 and g(x) = x²+ 2, what is the composition f(g(x))?

a)

3x² + 5

b)

x² + 1

c)

3x² + 1

d)

3x² + 6

6.

If f(x) = x-1 and g(x) = 2x,

what is g(f(x)) ?

a)

2x²-1

b)

2x-1

c)

2x-2

d)

x-2

7.

hint: substitute (-1) into the h(x) equation to get started...

a)

-1

b)

1

c)

-1/3

d)

-5/3

8.

f(x-2)

a)

2x² - 13x + 18

b)

2x² - 5x + 18

c)

2x² - 8x + 3

d)

2x² - 13x + 2

9.

$Find\ \ \ \ \ \ f\left(g\left(3\right)\right)$

(a)

10.

Based on this graph, find f(2). Hint: When x=2, what is the y-value?

a)

1

b)

0

c)

-1

d)

2

11.

Based on the graph, find f(0).

(a)

12.

Which is greater, f(2) or f(-2) ?

a)

f(2)

b)

f(-2)

c)

they are equal

13.

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

a)

$-f\left(x\right)$

b)

$f\left(-x\right)$

c)

f^-1(x)

d)

f(2x)

14.

Identify the transformations: $3f\left(x-2\right)$

a)

horizontal shift to the left 2 and vertical stretch by a factor of 3

b)

horizontal shift to the right 2 and vertical stretch by a factor of 3

c)

horizontal shift to the right 2 and vertical shrink by a factor of 3

d)

horizontal shift to the left 2 and vertical shrink by a factor of 3

15.

Describe the transformation of y = f(x) for the new function
y = f(x) + 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

16.

If the function f(x) is translated right 4 and up five, which function is the result?

a)

$f\left(x-4\right)+5$

b)

$f\left(x+5\right)-4$

c)

$f\left(x+4\right)+5$

d)

$4f\left(x+5\right)$

17.

If the function f(x) is vertically stretched by a factor of 2 and reflected over the x-axis, which function is the result?

a)

$f\left(x-2\right)$

b)

$2f\left(x\right)-1$

c)

$-2f\left(x\right)$

d)

$-f\left(2x\right)$

18.

Tricky one: Given f (the red graph) and g (the blue graph) find

f(g(2)) ? HInt: What is g(2)? ... g(2) = 4. Now find f(4).

a)

3

b)

8

c)

1

d)

4

19.

One last tricky one: Find g(f(-2))

a)

-18

b)

-2

c)

1

d)

9

20.

Who is this?

a)

Mr. Denning

b)

Isabelle

c)

Mr. Willman

d)

Mama Mustang

e)

Ms.Cunningham

Functions Review

Total questions: 20

Worksheet time: 31mins

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