Free Printable Unit 1 Test Review

1.

What is f when x equals 0?

a)

-5

b)

0

c)

1/2

d)

1

2.

What is f when x equals 4?

a)

-5

b)

0

c)

3

d)

6

3.

What is f when x equals 8?

a)

0

b)

5

c)

11

d)

16

4.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

5.

a)

A

b)

B

c)

C

d)

D

6.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

7.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

8.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

9.

Evaluate f(-5)

a)

0

b)

2

c)

5

d)

-4

10.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

11.

The x-value of a functions is

a)

Domain

b)

Range

c)

Relation

d)

Function

12.

What is the set of all real numbers between two given numbers?

(a)

13.

A test to see if a graph is a function is (a) .

14.

An equation has what kind of sign?

a)

=

b)

<

c)

>

d)

+

15.

What kind of signs does inequalities have?

a)

<

b)

>

c)

=

d)

$\le$

e)

$\ge$

16.

a)

A

b)

B

c)

C

d)

D

17.

What is the RANGE of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

18.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

19.

a)

$12.75

b)

$35

c)

$43.40

d)

$27.75

20.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

21.

What is the DOMAIN?

a)

(-∞, +∞)

b)

(-∞, -1] U [3, +∞)

c)

[-1, +∞)

d)

(-1, 0] U (0, +∞)

22.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

23.

Determine the transformation

a)

left 3, up 2

b)

right 3, up 2

c)

left 3, down 2

d)

right 3, down 2

24.

Which equation shows a function that is translated left 4 and 7 up?

a)

y = |x + 4| + 7

b)

y = (x - 4)² + 7

c)

y = (x + 7)² - 4

d)

y = |x + 4| - 7

25.

.
The blue graphs is the parent function f(x)=|x|, the red must be

a)

g(x)=|x+2|

b)

g(x)=|x|+2

c)

g(x)=|x-2|

d)

g(x)=|x|-2

26.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, -6

c)

x = 3, -12

d)

x = 6, -12

27.

Solve |x – 12| - 3 = 11.

a)

x = -2, -26

b)

x = -2, 26

c)

x = 3, 25

d)

x = 4, -7

28.

a)

f(x) = $\frac{1}{2}\left|x-2\right|+3$

b)

f(x) = $-\frac{1}{2}\left|x-2\right|+3$

c)

f(x) = $-\frac{1}{2}\left|x+3\right|-2$

d)

f(x) = $\frac{1}{2}\left|x-3\right|+2$

29.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

30.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

31.

a)

no solution

b)

-6 < x < 26

c)

x < -6 or x > 26

d)

all real numbers

32.

a)

One-to-One Function

b)

Not One-to-One Function

33.

Determine which function is one-to-one?

a)

b)

c)

34.

a)

One-to-One Function

b)

Not One-to-One Function

35.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

36.

What is the inverse of the points (1,3)(2,4)(6,2)?

a)

(2,6)(3,1)(4,2)

b)

(-3,-1)(-4,-2)(-2,-6)

c)

(1,3)(2,4)(6,2)

d)

(-1,-3)(-2,-4)(-6,-2)

37.

Find the domain and range of the INVERSE of the following function

a)

Domain: {-2, -1, 1, 8}

Range: {2, 3, 5}

b)

Domain: {2, 3, 5}

Range: {-2, -1, 1, 8}

c)

Domain: {-1, 8, 1, -2}

Range: {3, 2, 3, 5}

d)

Domain: {3, 2, 3, 5}

Range {-1, 8, 1, -2}

38.

f(x) = -4x - 12

What is f^-1(x)?

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

39.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

40.

Find the inverse.

f(x)=2x-2

a)

f^-1(x)=1/2x+1

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

41.

If $f(n)=x^2+1$ and $g(n)=2x-5$ Find $f(n)-g(n)$

a)

$x^2-2x+6$

b)

$-x^2+2x+4$

c)

$-x^2-2x-6$

d)

$x^2-2x-4$

42.

If $f(x)=4x+1$ and $g(x)=4x-3$

Find $f(x)*g(x)$

a)

$16x^2+8x-3$

b)

$16x^2-8x+3$

c)

$16x^2-8x-3$

d)

$16x^2-16x-3$

43.

If $f(x)=x^2+5$ and $g(x)=2x^3-1$ ,

find $\left(\frac{f}{g}\right)\left(-3\right)$ .

a)

-14/55

b)

14/55

c)

2

d)

-2

44.

If $f(x)=x^2-25$ and $g(x)=x-5$ ,

find the quotient $\left(\frac{f}{g}\right)(0)$ , if it exists.

a)

(f/g)(0) does not exist

b)

10

c)

5

d)

0

45.

Find (f - g)(x)

a)

5x² + 3x

b)

-3x² - 13x

c)

3x² + 3x

d)

-3x² + 3x

46.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

47.

Let ...
$q(x)=2x^2$
$p(x)=3x+4$ $Find\ p(q(x))$

a)

$10x^2$

b)

$18x^2+4$

c)

$6x^2+4$

48.

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

a)

3x²-5

b)

3x²-1

c)

3x²-4

d)

3x²-6

Unit 1 Test Review

Total questions: 48

Worksheet time: 12hrs 0mins

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