Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRInterpreting Graphs

Using Function Notation Answers

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If the relationships below are given in the form (input, output), which pairing always describes a function?

A
(number of doors in a car, number of cup holders in the car)
B
(height of a building in feet, height of the building in inches)
C
(beverage charge on a bill, total meal charge on the bill)
D
(distance from home during a trip, time elapsed during the trip)
2
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Removing which ordered pair from the table would make the relation a function of x? xy1747224139

A
(1, 7)
B
(2, 2)
C
(3, 9)
D
(4, 1)
3

Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. Is the number of gallons of water in the bathtub a function of time?

Question illustration
A
Yes because each t value is paired with exactly one number of gallons.
B
Yes because the number of gallons is bounded between y = 0 and y = 36.
C
No because each number of gallons is paired with more than one t value.
D
No because from t = 5 to t = 20 the number of gallons of water is constant.
4

Which equation is a function of x?

A
x = 5
B
x = y squared + 9
Option B
C
x squared = y
Option C
D
x squared = y squared + 16
Option D
5

Which graph is a function of x?

A
On a coordinate plane, a vertical line is at x = negative 3.
Option A
B
On a coordinate plane, a v-shaped graph opens up.
Option B
C
On a coordinate plane, a parabola opens to the right.
Option C
D
On a coordinate plane, one curve opens to the left and another curve opens to the right.
Option D
6

The table below lists some of the characteristics of the houses on Katrina’s street.Characteristics of Homes For Sale on Katrina’s StreetBedroomsAcres of landSale priceAppraised valueProperty tax 20.17$230,000$200,000$1,22020.20$210,000$220,000$1,23230.20$275,000$250,000$1,40040.24$275,000$275,000$1,54040.52$360,000$310,000$1,73640.75$350,000$320,000$1,79251.23$375,000$350,000$1,960Which relationship describes a function?

A
(bedrooms, sale price)
B
(acres of land, appraised value)
C
(sale price, bedrooms)
D
(appraised value, property tax)
7

Which statement describes how to determine if a relation given in a table is a function?

A
If none of the output values are repeated, the relation is a function.
B
If none of the input values are repeated, the relation is a function.
C
If any of the input values are equal to the output values, the relation is a function.
D
If all the output values are paired with the same input value, the relation is a function.
8

The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter.Why is the height of the ball a function of time?

Question illustration
A
Each value of time is associated with exactly one height.
B
Each height of the ball is associated with exactly one moment in time.
C
There is exactly one time at which the maximum height is attained.
D
There is a maximum and minimum height that the ball can reach.
9

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

Question illustration
A
The graph is not a function of x because the line x = 0 intersects the graph at two points.
B
The graph is a function of x because the line x = 5 does not intersect the graph.
C
The graph is not a function of x because the line y = 0 intersects the graph at two points.
D
The graph is a function of x because the line y = 5 does not intersect the graph.
10

Removing which point from the coordinate plane would make the graph a function of x?

Question illustration
A
(–4, 3)
B
(–2, 1)
C
(0, 4)
D
(1, 1)

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