AnswersEF Math 12 1st Nine WeeksDomain and Range

Topic Test Answers

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The graph above represents a step function. A graph of a step function resembles the steps of a staircase and is not continuous. The black dot represents a closed endpoint (to include) and the white dot represents an open endpoint (do not include). Utilizing the graph, how much does it cost to park for 2 hours?

Question illustration
A
$3
B
$6
C
$9
D
$12
2
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The equation V = -2000t + 20,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $14,000, find the age of the car.

A
5 years
B
4 years
C
3 years
D
2 years
3

Of the relations graphed below, three are functions and one is not.Which of the relations is NOT a function?

Question illustration
A
Graph A
B
Graph B
C
Graph C
D
Graph D
4

Solve the equation. Then check your solution.

Question illustration
A
0.7
B
–0.3
C
1.3
D
0.3
5

The speed, s, of an ant (in centimeters per second) is related to the temperature, t (in degrees Celsius), by the formula If an ant is moving at 4 centimeters per second, what is the temperature? Round your answer to the nearest degree. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
6

When you were born, your uncle put $1000 into a bank account for you. According to the terms of the account, your investment grows in a manner represented by the following graph. Which variable is the independent variable? Which variable is the dependent variable? If you are 18 years old, how much money is in the account?

Question illustration
A
Dollars; years; $2800
B
Time; amount; $2500
C
Dollars; years; $2500
D
Time; amount; $2800
7

Describe what is happening in this graph with regards to the number of people in an amusement park on a summer day.

Question illustration
Answer:

As the day goes on, people arrive and the number of people in the park increases. The number stays about the same for a while, then decreases as people leave, eventually reaching zero when the park is empty.

8

Give the domain and range.

Question illustration
A
domain: {1, –1, –3}, range: {–2, 0, 2}
B
domain: {1, –1, –3}, range: {2, 0, 2}
C
domain: {2, 0, 2}, range: {1, –1, –3}
D
domain: {–2, 0, 2}, range: {1, –1, –3}
9

Solve the equation for x. (x - 4) - (x + 7) = 8x a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
10

Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute, can be approximated by the formulas for women for men, where a represents the person’s age. If the desirable heart rate for a woman is 130 beats per minute, how old is she?

Question illustration
A
84 years old
B
57 years old
C
37 years old
D
20 years old
11

Solve the equation. Then check your solution.

Question illustration
A
–512
B
7
C
–2
D
–7
12

The equation V = -2000t + 20,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $14,000, find the age of the car.

A
5 years
B
4 years
C
3 years
D
2 years
13

Solve the equation. Then check your solution.

Question illustration
A
53
B
186
C
–185
D
185
14

Evaluate the function for f(-2).

Question illustration
A
5
B
7
C
6
D
4
15

Which graph matches the following statement? You are driving a steady speed, then stop for a train. When the train passes, you resume your speed. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
16

Identify the graph that displays the depth of water in a swimming pool after the drain is opened. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
17

You work for the National Weather Service and are asked to study the average daily temperatures in Anchorage, Alaska. You calculate the mean of the average daily temperatures for each month. You decide to place the information on a graph in which the date is the input and the temperature is the output. You also decide that January 1950 will correspond to the month 0 as indicated by the dot on the input scale. Determine the quadrant in which you would plot the points that correspond to the following data: The average daily temperature for July 1963 was F.

Question illustration
A
Quadrant III
B
Quadrant IV
C
Quadrant II
D
Quadrant I
18

Finish the following table for the given function with x as the independent variable. x f(x) 0 10 5 10 15

Question illustration
A
95, 90, 85
B
9.75, 9.49, 9.22
C
9.75, 9.22, 9.49
D
10, 9, 8
19

Solve the equation. Then check your solution. –8p = a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
20

Solve the equation. Then check your solution.

Question illustration
A
9.88
B
15.04
C
6.12
D
–6.12

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