Free Printable Algebra 1: Topic 3 (Linear Functions)

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Algebra 1: Topic 3 (Linear Functions)

Total questions: 32

Worksheet time: 32mins

Name

Class

Date

1. Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

The relation is a function because no value in the domain goes to multiple values in the range.

The relation is a function because all values in the range are different.

The relation is not a function because one value in the domain goes to multiple values in the range.

The relation is not a function because there is an ordered pair where the domain is equal to the range.

Which choice also represents the relation shown in the sets below as correct ordered pairs?

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

{(2,1),(4,2),(6,2)}

{(1,2),(2,4),(2,6)}

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

Is the relation above a function?

Yes, because it doesn’t show any repeating 𝑥 values in the domain.

Yes, because every 𝑦 value in the range is different.

No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

If 𝑓(𝑥)=2𝑥+4, which of the following domain values would cause 𝑓(𝑥)=10?

x = 10

x = 3

x = 6

x =5

Let 𝑓(𝑥)=𝑥−7. Find the value of 𝑓(2).

-7

-5

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

Function

Not a Function

Is this graph a function or not a function?

Function

Not a Function

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

Does this mapping diagram represent a function?

No, because an input value goes to multiple output values

Yes, because each input goes to one and only one output

10.

The relation in the graph is..

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

a one-to-one function.

not a function

11.

Which of the following relations is a one-to-one function?

{(1,2), (1,4), (1,5), (1,6)}

{(4,-5), (3,-5), (2,8), (1,8)}

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

{(10,9), (8,7), (6,5), (4,3)}

12.

The domain of the relation is:

{0, 4, 7, 10, 11, 13, 17, 20}

{4, 7, 10, 11, 13, 17, 20}

{7, 10, 13}

{4, 11, 17, 20}

13.

The range of the relation is:

{0, 4, 7, 10, 11, 13, 17, 20}

{4, 7, 10, 11, 13, 17, 20}

{7, 10, 13}

{4, 11, 17, 20}

14.

f(x) = 2x – 4

f(x) = -3x – 4

f(x) = 3x – 4

f(x) = 4x +2

15.

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look at the table. Choose the linear function f Eve can use to determine her pay.

f(x) = x + 14

f(x) = 12x + 16

f(x) = 12x + 14

f(x) = 14x + 12

16.

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Assume Eve does yard work from 8:30 A.M. to 2:00 P.M. and then walks the dog.

Using the function f(x) = 14x + 12, how much does she earn?

$66

$77

$89

$109

17.

What does the y-intercept of the line represent?

total time spent running

average time to run one lap

average time spent running to the school track

average number of laps run

18.

Name the parent function.

linear

quadratic

absolute value

constant

19.

Describe the transformation

$f\left(x\right)\ =\ x+3$

3 Units Up

3 Units Down

3 Units Left

3 Units Right

20.

Describe the transformation

$f\left(x\right)\ =\ x-6$

6 Units Up

6 Units Down

6 Units Left

6 Units Right

21.

Describe the transformations

$g\left(x\right)\ =\ \left(x+4\right)-6$

4 Units Left

6 Units Up

4 Units Left

6 Units Down

4 Units Right

6 Units Up

4 Units Right

6 Units Down

22.

Describe the transformation

$3h\left(x\right)$

Vertically Stretched by a factor of 3

Vertically Compressed by a factor of 3

Horizontally Stretched by a factor of 3

23.

Describe the transformation

$h\left(\frac{1}{3}x\right)$

Vertically Stretched by a factor of $\frac{1}{3}$

Vertically Compressed by a factor of $\frac{1}{3}$

Horizontally Stretched by a factor of $\frac{1}{3}$

24.

What is the y-intercept?

(0,7)

(0, 0)

(0,1)

(0, 2)

25.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

26.

Describe the transformation from the parent function.

Flatter/Vertical compress

Steeper/Vertical stretch

Shift up 2 units

Shift down 2 units

27.

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

28.

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

29.

What is the RANGE?

0 ≤ x < 3

0 < y ≤ 3

-2 ≤ y < 1

-2 ≤ y ≤ 1

30.

Is the graph pictured discrete or continuous?

Discrete

Continuous

31.

Is this graph Discrete or Continuous?

Discrete

Continuous

32.

What is the DOMAIN of this graph?

-4 ≤ x ≤ 3

-1 ≤ x ≤ 4

4 < x < 3

-1 < x < 4

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Algebra 1: Topic 3 (Linear Functions)

Total questions: 32

Worksheet time: 32mins

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