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LONG AND OBNOXIOUS FUNCTIONS AND RELATIONS REVIEW

Total questions: 64

Worksheet time: 3hrs 11mins

Name
Class
Date
1.
What is the domain?
a)
{-4, -1, 0, 2, 7}
b)
{-5, -4, -1, 0, 1, 2, 4, 7}
c)
{-5, 0, 1, 2, 4}
d)
{5}
2.
What is the Range?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
3.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
4.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
5.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

6.

What is domain?

a)

A set of ordered pairs

b)

The collection of all inputs or x-values

c)

The collection of all outputs or y-values

d)

Has only one output for every input

7.

What is range?

a)

The collection of all inputs or x-values

b)

Has only one output for each input

c)

A set of ordered pairs

d)

The collection of all outputs or y-values

8.

Which graph represents a function?

a)
b)
c)
d)
9.

Which of the relations below is a function?

a)

{(2, 3), (3, 4), (5, 1), (2, 4)}

b)

{(2, 3), (3, 4), (6, 2), (7, 3)}

c)

{(2, 3), ( 3, 4), (6, 2), (3, 3)}

10.

The graph of a relation is shown at the right. Is this relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

11.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

12.

What is a function?

a)

A relation that maps every domain value to exactly one range value.

b)

A relation that maps every range value to exactly one domain value.

c)

Any set of ordered pairs.

d)

Any graph of x and y values.

13.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

14.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

15.

f(x)=5x−12f\left(x\right)=5x-12 What is f(−4)f\left(-4\right)

a)

-32

b)

-3

c)

-12

d)

3

16.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

17.

 Given f(x)=2x−10 for which value of x that f(x)=8?Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=8?  

a)

5

b)

10

c)

9

d)

-12

18.

EVALUATE THE FUNCTION

a)

A

b)

B

c)

C

d)

D

19.
If f(x)=6x2-4,
what is f(-1)?
a)
-2
b)
13
c)
2
d)
0
20.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
21.

Suppose f(x) = x2 - 8. Evaluate f(2) - f(3).

a)

-7

b)

5

c)

-1

d)

-5

22.

Identify the independent variable:


The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

23.

In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.


h = the number of hours Dalton babysits
m = the amount of money Dalton earns


Which of the variables is dependent?

a)

h

b)

m

24.

Mr. Pransky wants to see how different surfaces affect how high a tennis ball can bounce. What is the independent variable?

a)

the different surfaces

b)

how high they bounce

25.
Adam earns $10 for each car he washes.
a)
Discrete
b)
Continuous
26.

Soft drinks sold from a vending machine on I-75 cost $1.75 per bottle.

a)

Discrete

b)

Continuous

27.
While driving to Florida, Sophia averaged 72 m.p.h. 
a)
Discrete
b)
Continuous
28.
The number of orange Skittles in a bag. 
a)
Discrete
b)
Continuous
29.
The time it takes for a light bulb to burn out. 
a)
Discrete
b)
Continuous
30.

What is the Y-intercept of this graph?

a)

(0,5)

b)

(0,4)

c)

{8,0}

d)

[2,0]

31.
When graphing a continuous function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph continuous functions
d)
There is no such thing as a continuous function
32.
When graphing a discrete function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph discrete functions
d)
There is no such thing as a discrete function
33.
In discrete functions, the x-values...
a)
Can be all numbers
b)
Can only be whole numbers
c)
Can only be decimals
34.
In continuous functions, the x-values...
a)
Can be all numbers
b)
Can only be whole numbers
c)
Can only be decimals
35.

Discrete or continuous data?

a)

Discrete

b)

Continuous

36.

Discrete or continuous data?

a)

Discrete

b)

Continuous

37.

Discrete or continuous data?

a)

Discrete

b)

Continuous

38.
Is the graph pictured discrete or continuous?
a)
Discrete
b)
Continuous
39.
Is this discrete or continuous?
a)
discrete
b)
continuous
40.
Is this a function or not?
a)
function
b)
not a function
41.

2. Find the x-intercept for

x - y = 1

(a)  

42.

3. Find the y-interecept

3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

43.

4. Find the x-intercept

3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

44.

9. Find the y-intercept

x - 2y = 4

a)

(0,0)

b)

(0,-2)

c)

(-2,0)

d)

(4,0)

45.

10. Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

46.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
47.
What is the y-intercept for the given graph?
a)

(3, 0)

b)

(0, 0)

c)

(0, 1)

d)

(-1, 0)

48.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
49.

Find the x and y intercepts for the equation:

4x−5y=404x-5y=40  

a)

x-intercept is 10 
y-intercept is 8

b)

x-intercept is 10
y-intercept is 20

c)

x-intercept is 8
y-intercept is 10

d)

x-intercept is 10
y-intercept is -8

50.

Is the function represented by this graph linear or nonlinear?

a)

Linear

b)

Nonlinear

51.

Is the function 2x+3y=7 2x+3y=7\   linear or nonlinear?

a)

Linear

b)

Nonlinear

52.

Is the function  y+x=4x−5y+x=4x-5  linear or nonlinear?

a)

Linear

b)

Nonlinear

53.

Is the function  y=8x2y=\frac{8}{x^2}  linear or nonlinear?

a)

Linear

b)

Nonlinear

54.

Does this table represent a linear or nonlinear function?

a)

Linear

b)

Nonlinear

55.

Does this table represent a linear or nonlinear function?

a)

Linear

b)

Nonlinear

56.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
57.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
58.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
59.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

60.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)

7x + 2y = 9

d)
3x + 2 = y
61.

Put this into standard form:

y = 3x + 2

a)

y + 3x = 2

b)

3x + y = 2

c)

3x - y = -2

d)

3x - 2y = 2

62.

Put this into standard form:

8x = 9y + 10

a)

8x - 10 = 9y

b)

9y - 8x = 10

c)

8x + 9y = 10

d)

8x - 9y = 10

63.

What is the y-intercept of

2x - 5y = 35?

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

64.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

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