AnswersEF Math 12 1st Nine WeeksProblem-Solving

Understand Functions Answers

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1
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Relate a vertical line test to understanding functions.

A
Each horizontal line drawn through the graph will intersect a function in only one location
B
Each vertical line drawn through the graph will intersect a function in many locations
C
Each vertical line drawn through the graph will intersect a relation in only one location
D
Each vertical line drawn through the graph will intersect a function in only one location
2
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The weights and heights of six mathematics students are given in the following table: Weight (in pounds) Height (in centimeters) 165 172 123 157 212 183 175 178 165 163 147 167 State whether height is a function of weight for the six students and explain.

A
Yes, height is a function of weight because two students weigh 165 pounds but have different heights.
B
No, height is not a function of weight because two students weigh 165 pounds but have different heights.
C
Yes, height is a function of weight because for each weight there is a corresponding height.
D
No, height is not a function of weight because there is not enough data to determine a function.
3

Determine whether or not the situation describes a function. Give a reason for your answer.The amount of federal income tax you pay is a function of your taxable income.

A
No, it is not a function. For a specific income, you pay only one tax amount.
B
Yes, it is a function. At the end of the year, you will have two different tax amounts.
C
No, it is not a function. Every year, you pay a different amount of tax.
D
Yes, it is a function. For a specific taxable income at the end of the year, you will pay only one income tax amount.
4

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 January 1936 was F.

Question illustration
A
Quadrant III
B
Quadrant IV
C
Quadrant II
D
Quadrant I
5

The weights and heights of six mathematics students are given in the following table: Weight (in pounds) Height (in centimeters) 165 172 123 157 212 183 175 178 165 163 147 167 In the statement, “Weight is a function of height,” which variable is the input and which is the output?

A
Height is input, weight is output
B
Both weight and height are the input
C
Weight is input, height is output
D
Both weight and height are the output
6

Write the relation as a set of ordered pairs.

Question illustration
A
ordered pairs: {(4, –2), (0, 6), (2, 8)}
B
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
C
ordered pairs: {(4, –2), (0, 6), (8, 2)}
D
ordered pairs: {(–2, 4), (6, 0), (8, 2)}
7

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions?Table Ax-8-306y244972Table Bx9152438y-14-165329Table Cx152424100y-1653297Table Dx-8606y244972

A
Table A and Table C
B
Table A and Table B
C
Table B and Table C
D
Table C and Table D
8

Determine which of the following terms is a function:

A
(1,2) (2,4) (3,5)
B
(1,2) (2,3) (1,5)
C
(1,2) (2,4) (2,6)
D
(1,2) (3,5) (3,7)
9

Write the relation as a set of ordered pairs.

A
A
B
B
C
C
D
D
10

Write the relation as a set of ordered pairs.

Question illustration
A
ordered pairs: {(–3, 3), (0, 0), (2, –2)}
B
ordered pairs: {(3, –3), (0, 0), (–2, 2)}
C
ordered pairs: {(3, –3), (0, 0), (2, 2)}
D
ordered pairs: {(–2, 2), (0, 0), (3, –3)}
11

Which of the following graphs represent a function?

Question illustration
A
Graph A and Graph C
B
Graph A
C
Graph D
D
Graph B and Graph D
12

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 1910 was F.

Question illustration
A
Quadrant III
B
Quadrant IV
C
Quadrant II
D
Quadrant I
13

Write the relation as a set of ordered pairs.

Question illustration
A
ordered pairs: {(4, –2), (0, 0), (2, 4)}
B
ordered pairs: {(–2, 4), (0, 0), (4, 2)}
C
ordered pairs: {(–2, 4), (0, 0), (2, 4)}
D
ordered pairs: {(4, –2), (0, 0), (4, 2)}
14

Write the relation as a set of ordered pairs.

Question illustration
A
ordered pairs: {(–1, –2), (0, 1), (3, 2)}
B
ordered pairs: {(–2, –1), (1, 0), (3, 2)}
C
ordered pairs: {(–2, –1), (0, 1), (2, 3)}
D
ordered pairs: {(–1, –2), (1, 0), (2, 3)}
15

State which of the following ordered pairs is a function.Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)Set B: (1, 4), (2, 3), (3, 2), (4, 1)Set C: (2, 1), (3, 2), (2, 3), (1, 4)

A
Set A
B
Set B
C
Both Set A and Set B
D
Set C

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