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Intro to Linear Functions Review

Total questions: 14

Worksheet time: 31mins

Name
Class
Date
1.

Which represents the domain of the following relation?

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

a)
b)
c)
d)
2.

Use the graph to explain why y is or is not a function of x:

a)

y is a function of x because for each x coordinate, there is exactly one y coordinate.

b)

y is not a function of x becuase for each x coordinate, there is exactly one y coordinate.

c)

y is a function of x because both (4, 2) and (4, -2) have the same x coordinate.

d)

y is not a function of x because both (4, 2) and (4, -2) have the same x- coordinate.

3.

Which relation is a function.

a)
b)
c)
d)
4.

A running club went on a 90 minute jog. The graph shows the relationship between the number of minutes spent on a trail and the miles traveled.

a)

The number of miles traveled increased some of the time and decreased some of the time.

b)

The numberof miles incresed continuously throughout the jog.

c)

The club members stopped for a rest during the jog.

d)

The joggers ran at a constant speed the entire time.

5.

Bob plays a certain number of notes in a set amount of time on the flute. He rests for an equal amount of time, then plays fewer notes in the same amount of time it took her to play the first set of notes. Make a graph that can be used to represent this situation comparing the relationship of time and notes.

a)
b)
c)
d)
6.

The data from the table below form a function. What value added tot he table would change the relation to NOT be a function?

a)

(3, 2)

b)

(-3, 5)

c)

(1, 0)

d)

(1, 3)

7.

A space ship is coming from outer space. It is starting to land, so it slows down until it reaches its landing speed. It stays at this speed until it descends and lands on Earth. Which graph shows this situation.

a)
b)
c)
d)
8.

Which situation is best represented by the graph?

a)

A car is driving at a steady pace, slows down to stop at a stoplight, and then starts back up at a consistent speed, lower than before.

b)

A ball is thrown in the air, it falls tot he ground and bounces.

c)

A motorcycle starts on flat ground and drives quickly up a hill, when it gets to the top it keeps cruising.

d)

An airplane starts slowly on the runway and then quickly takes off before finding a cruising speed.

9.

Which graph shows John's height above the round as a function of time as he rides a Ferris wheel?

a)
b)
c)
d)
10.

Which table of values is not a function?

a)
b)
c)
d)
11.

Determine if the relation below is a function. List the domain and range values.

a)

The relation is not a function. Domain {-1, 0, 1, 2, 3, 4} Range {-4, 0, 1, 2, 6, 7}

b)

The relation is a function. Domain {-4, 0, 1,2, 6, 7} Range {-1. 0, 1, 2, 3, 4}

c)

The relation is not a function. Domain {-4, 0, 1, 2, 6, 7} Range {-1, 0, 1, 2, 3, 4}

d)

The relation is a function. Domain {-1, 0, 1, 2, 3, 4} Range {-4, 0, 1, 2, 6, 7}

12.

Select the set of ordered pairs, (x, y) that represent a function.

a)

{(5.5, 9), (3.5, 7), (5.5, 10), (4.5, 2)}

b)

{(1, 3), (2, 4), (3, 5), (4, 6)}

c)

{(-5, 8), (-5, 9, (-5, 10, (-5, 11)}

d)

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

13.

Which graph represents a function?

a)
b)
c)
d)
14.

Which representations shows y as a function of x?

a)
b)
c)
d)