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Review 5.1 - 5.6

Total questions: 45

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
2.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
3.

Is this set of ordered pairs a function or not a function? 

{5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

a)
Function
b)
Not a Function 
4.

Which graph shows a relation that is a function?

a)
b)
c)
d)
5.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
6.
a)
Function
b)
Not a Function
7.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

8.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

9.

Evaluate the function for f(9) if  f(x)=35x+8\ f\left(x\right)=\frac{3}{5}x+8  .

a)

675\frac{67}{5}  

b)

135-\frac{13}{5}  

c)

675-\frac{67}{5}  

d)

135\frac{13}{5}  

10.

If f(x) = 3x - 9, find f(5).

a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
11.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
12.
If f(x) = x - 5, what is the value of x when f(x) = 15?
a)
20
b)
10
c)
5
d)
0
13.
w(x) = 3x - 7.
If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
14.

What does H(5) =18 mean in the context of the problem?

a)

The height of the plant after 5 weeks is 18 inches

b)

The height of the plant after 18 weeks is 5 inches

c)

The height of the plant is 5 inches after 18 weeks

d)

The height of the plant is dependent on the week it was planted

15.

Given the graph of f(x), what does f(6) = 30 mean in context?

a)

When 6 books are sold, the store makes $30

b)

When 30 books are sold, the store makes $6

c)

When 6 books are sold, the store makes $36

d)

The store makes $5 per book.

16.

Given this table of the function f(x), find x when f(x)=15 and explain what it means in context.

a)

f(1) = 15 means the farmer increases his soli by 15%

b)

f(15) = 1 means after 15 weeks the farmer has 1 pound of soil.

c)

f(1) = 15 means after 1 week the farmer has 16 pounds of soil.

d)

f(1) = 15 means after 1 week the farmer has 15 pounds of soil.

17.

What does f(1990)=214 mean in the context of the problem?

a)

In 1990 there were 214 million people with health insurance

b)

In 214, there were 1990 people with health insurance

c)

When there are 1990 people, the year is 214

d)

None of these

18.

What does f(1990)=214 mean in the context of the problem?

a)

In 1990 there were 214 million people with health insurance

b)

In 214, there were 1990 people with health insurance

c)

When there are 1990 people, the year is 214

d)

None of these

19.

Ms. McWilliams and her class are examining the data given in the table below. A student makes a statement that Plant 4 started as the tallest plant after 7 days and was still the tallest plant after 42 days. Is this student correct? Select TWO answers.

a)

Yes the student is correct.

b)

No the student is not correct.

c)

Plant 4 is the tallest plant after 42 days.

d)

Plant 1 is taller than Plant 4 after 42 days

e)

Plant 3 is taller than Plant 4 after 42 days.

20.
Express the following in Interval Notation
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
21.

Express the following in Interval Notation

-9 < y ≤ -4

a)

[-9, -4]

b)

(-9,-4]

c)

[-9, -4]

d)

(-9,-4)

22.

Express the following in algebraic notation:

[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

23.

Express the following algebraic notation:

(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

24.

Express the following algebraic notation:

(-63, -62)

a)

-63 ≤ x ≤ -62

b)

-63 < x ≤ -62

c)

-63 ≤ x < -62

d)

-63 < x < -62

25.
Write the following in interval notation
-7 ≤ x < 8
a)
(-7, 8)
b)
[-7, 8)
c)
[-7, 8]
d)
(-7, 8]
26.
Look at the Graph. Write the inequality in interval notation.
a)
[-4, -1)
b)
(-4, -1)
c)
(-4, -1]
d)
[-4, -1]
27.
Look at the picture. Which number line corresponds to [-2, 5]?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

29.

Write the following solution in interval notation:

z < 20

a)

( -∞ , 20 )

b)

( 20,∞)

c)

( -∞ , 20)

d)

( -∞ , 20]

30.
What interval notation does the number line graph represent?
a)
[∞, -5)
b)
(∞, -5)
c)
[-5, ∞)
d)
(-5, ∞)
31.
Describe the end behavior of the graph.
a)
x →∞, y→∞ and x→∞, y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→0 and x→∞, y→⁻∞
32.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
33.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
34.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
35.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→2
d)
x →∞,y→2 and x→⁻∞, y→∞
36.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
37.
In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
38.

When is this function increasing?

a)

(-3, 3)

b)

(-2.5, 2.5)

c)

[-3, 3]

d)

(3, ∞)

39.

On which interval(s) is the given function increasing?

a)

(-∞, 2) U (-2, ∞)

b)

(-2, 2) U (-2, ∞)

c)

(-∞, -2) U (0.5, ∞)

d)

(0, 2) U (0.5, ∞)

40.

What is/are the increasing interval(s) for the function shown?

a)

(3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(,1) and (3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

41.

Where is the graph increasing?

a)

(-∞, -2.55) U (2.55, ∞)

b)

(0, ∞)

c)

(-2.55, 0) U (2.55, ∞)

d)

(-6.25, 36)

42.

What is the interval of increase?

a)

(negative infinity, -2)

b)

(-2, infinity)

c)

(2, infinity)

d)

(negative infinity, 2)

43.

What is the interval of decrease?

a)

(negative infinity, -2)

b)

(-2, infinity)

c)

(2, infinity)

d)

(negative infinity, 2)

44.

When is the function decreasing?

a)

(30, 55)

b)

(40, 60]

c)

(15, 40)

d)

(60, -40)

45.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)