Topic Test Answers

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The graph shows the height of a ball as it bounces. What does each decreasing portion of the graph represent?

Question illustration
A
The ball is falling back toward the ground.
B
The ball has briefly touched the ground and is beginning to rise again.
C
The ball is touching the ground at its lowest point.
D
The ball has reached its maximum height of the first bounce.
4

Does this graph represent a function? What is the domain and range of the graph?

Question illustration
A
Yes; domain: all real numbers; range:
B
Yes; domain: all real numbers; range:
C
No; domain: all whole numbers; range:
D
Yes; domain: all real numbers; range:
7

In the following table, elevation is the input and amount of snowfall is the output. Elevation (in feet)Snowfall (in inches)200043000640009500012Does this situation describe a function?

A
No, each amount of snowfall is paired with only one elevation
B
Yes, each amount of snowfall is paired with one elevation.
C
Yes, all the snowfall values are different.
D
No, all the elevation values are different
12

Give the domain and range.

A
A
B
B
C
C
D
D
13

Solve the equation for x. a. -10 c. b. 1 d. -1 Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
14

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

A
The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.
B
The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..
C
The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.
D
The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.
16

The value of almost everything you own (assets), such as a car, computer, or house, depreciates (goes down) over time. When an asset’s value decreases by a fixed amount each year, the depreciation is called straight-line depreciation. Suppose your truck has an initial value of $12,400 and depreciates $820 per year. What two variables are involved in this problem? Which variable can best be designated as the dependent variable? As the independent variable?

A
Independent variable - amount of depreciation per year;Dependent variable - number of years you own the truck.
B
Independent variable - value of the truck;Dependent variable - amount of depreciation per year.
C
Independent variable - number of years you own the truck;Dependent variable - value of the truck.
D
Independent variable - value of the truck;Dependent variable - number of years you own the truck.
20

Give the domain and range.

Question illustration
A
domain: {4, 0} range: {–2, 0, 2}
B
domain: {4, 0, 4} range: {–2, 0, 2}
C
domain: {–2, 0, 2}, range: {4, 0}
D
domain: {–2, 0, 2}, range: {4, 0, 4}

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