AnswersMathematics 8Introduction to Functions

Introduction to Functions — Quiz Answers

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The temperature in degrees Celsius, c , can be converted to degrees Fahrenheit, f , using the equation f is equal to 9 fifths x plus 32 Which statement best describes if the relation open paren c comma f close paren is a function?

A
It is not a function because 0 times degree C is not paired with 0 times degree F .
B
It is a function because every Celsius temperature is associated with only one Fahrenheit temperature.
C
It is a function because negative 40 times degree C is paired with negative 40 times degree F .
D
It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.
4

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 does not represent a function.
B
If any vertical line can intersect the graph at more than one point, the graph represents a function.
C
If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
D
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
5

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

A
(distance from home during a trip, time elapsed during the trip)
B
(number of doors in a car, number of cup holders in the car)
C
(beverage charge on a bill, total meal charge on the bill)
D
(height of a building in feet, height of the building in inches)
6

The given equation models the height in feet, h , of a softball t seconds after it is hit by a batter. h is equal to negative 16 t squared plus 105 t plus 3 Why is the height of the ball a function of time?

A
There is exactly one time at which the maximum height is attained.
B
Each value of time is associated with exactly one height.
C
There is a maximum and minimum height that the ball can reach.
D
Each height of the ball is associated with exactly one moment in time.
7

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 is equal to 4 x squared minus 100
B
y is equal to negative x squared plus 50 x minus 300
C
x squared is equal to negative 6 y squared plus 200
D
x is equal to negative y squared plus 60 y minus 400
8

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72 times degree F to 400 degrees F over a 10-minute period. The oven remained at 400 degrees F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72 times degree 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 the oven temperature was the same at different times.
B
It is not a function because the oven temperature was the same at different times.
C
It is a function because at any given time the oven was exactly one temperature.
D
It is not a function because at any given time the oven was exactly one temperature.
9

Asha found that a vertical line intersects the graph of x is equal to absolute value of y at two points. What can Asha conclude about x is equal to absolute value of y ?

A
It is both a function of x and a relation.
B
It is neither a function of x nor a relation.
C
It is a function of x but not a relation.
D
It is a relation but not a function of x .
10

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

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

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