AnswersWHS Pre-Algebra - MA3119 A-CRTopic Test

Introduction to Functions Answers

10 verified answers1 views
1
Free Preview

Lorraine writes the equation shown.She wants to describe the equation using the term relation and the term function.The equation represents

Question illustration
A
a relation and a function
B
a relation but not a function
C
a function but not a relation
D
neither a relation nor a function
2
Free Preview

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?

A
It is a function because at any given time the oven was exactly one temperature.
B
It is a function because the oven temperature was the same at different times.
C
It is not a function because at any given time the oven was exactly one temperature.
D
It is not a function because the oven temperature was the same at different times.
3

A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items?

A
y squared = 4 x squared minus 100
Option A
B
y = negative x squared + 50 x minus 300
Option B
C
x = negative y squared minus 400
Option C
D
x squared = negative 6 y squared + 200
Option D
4

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
5

Which statement is a correct interpretation of the vertical line test?

A
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
B
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function.
C
If any vertical line can intersect the graph at more than one point, the graph represents a function.
D
If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
6

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.
7

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.
8

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)
9

The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom. Is the height of these students a function of their wrist circumference?

Question illustration
A
Yes because as wrist circumference increases height also increases.
B
Yes because a line can be fit to these data to predict other pairings.
C
No because the height of 151 cm is paired with two wrist circumferences.
D
No because the wrist circumference of 16 cm is paired with two heights.
10

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)

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Exploring Slope

Quiz
10 verified answers

Tables, Graphs, and Equations

Quiz
10 verified answers

Constructing Linear Functions