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Function Notation (3.3)

Total questions: 41

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

Evaluate f(x) = -2x + 7 when x = -3

a)

-5

b)

1

c)

5

d)

13

2.

Find the value of the function f(x) = 5x + 1 if x = 6.

a)

1

b)

12

c)

31

d)

57

3.

Let c(h) be the number of passengers on a bus h hours after the bus leaves the depot at 6 A.M. Explain the meaning of the statement: c(4) = 11.

a)

At 6 A.M., there were 4 passengers on the bus.

b)

At 11 A.M., there were 4 passengers on the bus.

c)

At 6 A.M., there were 11 passengers on the bus.

d)

At 10 A.M., there were 11 passengers on the bus.

4.

If f(x) = 4x + 15, find the value of x when f(x) = 7.

a)

-2

b)

5.5

c)

43

5.

Find the value of x so the value of the function is 5.

a)

4

b)

5

c)

7

6.

Which ordered pair is a point on the graph of h(x) = 3x - 2?

a)

(-1, -5)

b)

(0, 2)

c)

(1, 5)

d)

(3, -2)

7.

Which ordered pair is a point on the graph of

g(x) = 12x − 3g\left(x\right)\ =\ \frac{1}{2}x\ -\ 3  

a)

(2, -1)

b)

(0, 0)

c)

(2, -2)

8.

The function C(x) = 12x + 8 represents the cost of buying x DVDs with a shipping cost of $8 per order. How much does it cost to buy 4 DVDs?

a)

$1

b)

$24

c)

$56

d)

$132

9.

Let f(x) be the temperature outside x hours after 8:00 AM. What is the meaning of

  f(3)=f(8)f\left(3\right)=f\left(8\right)  ?

a)

At 3:00 PM it will be 8 degrees outside.

b)

At 11:00 AM it will be 8 degrees warmer out than at 8:00 AM

c)

The temperature is the same at 3:00 AM and 8:00 AM

d)

The temperature is the same at 11:00 AM and 4:00 PM

10.

The function

  C(x)=10x+50C\left(x\right)=10x+50  

represents the cost in dollars to hire a landscaper where x is the number of hours of labor.  How much will an 8 hour job cost?

a)

$130

b)

$80

c)

$42

d)

#225

11.

How would you write y=2x+5y=2x+5  in function notation?

a)

f(x)=2x+5f\left(x\right)=2x+5  

b)

f(x)f\left(x\right)  

c)

f(x)=2xf\left(x\right)=2x  

d)

f(xy)=2x+5f\left(xy\right)=2x+5  

12.

REVIEW QUESTION!


True/False

The domain consists of all the x- values of a function.

a)

True

b)

False

13.

REVIEW QUESTION!


All of the y-values in a function are called the...

a)

function

b)

domain

c)

range

d)

nonlinear

14.

the set of output (y) values in a relation

a)

domain

b)

range

c)

relation

d)

function

15.

the set of (x) values in a relation

a)

domain

b)

range

c)

relation

d)

function

16.
a)

Vertical Line Test

b)

Ordered Pairs

c)

Mapping Diagram

d)

Function Notation

17.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
18.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

19.
a)
Function
b)
Not a Function
20.
Is this a function or not a function?
a)
Function
b)
Not a Function
21.

Which of the following is a function?

a)
b)
c)
d)
22.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
23.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
24.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

25.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

26.

What is the Range?

a)

y ≥ 6

b)

y≤6y\le6  

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

27.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

28.
What is the domain of the function graphed?
a)
x < 5
b)
x ≥ 1
c)
x > 0
d)
All real numbers
29.

What is the test to determine if a graph represents a function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

30.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
31.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Strech

d)

right 2 units

32.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

33.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

Up 7

c)

Right 7

d)

vertical compression

34.
Which equation describes the transformation of shifting f(x)=x2 two units right?
a)
x2 + 2
b)
x2 - 2
c)
(x + 2)2
d)
(x - 2)2
35.
  The blue function is the original function f(x) = x3.  Which of the following is the correct equation for the red function, g(x)?
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
36.
Evaluate for f(1)
a)
0
b)
-3
c)
3
d)
2
37.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

38.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

39.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
40.

What is the definition of a FUNCTION?

a)

Each input is paired with more than one output

b)

x-values in a set of ordered pairs

c)

y-values in a set of ordered pairs

d)

Each input is paired with exactly one output

41.
Given g(x) =
 4x - 7, find g(-9). 
a)
g(-9) = 29
b)
g(-9) = -43
c)

g(-9) = -29

d)

g(9) = -43

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