Understand Functions

Question 1

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 1982 was F.

Revolt · Accepted Answer

Quadrant I

Question 2

Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not. (4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)

Revolt · Accepted Answer

The relation is not a function. The x-value -3.8 is paired with two different y-values, 4.2 and -1.8, so it fails the vertical line test.

Question 3

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.

Revolt · Accepted Answer

Quadrant I

Question 4

Determine whether or not the situation describes a function. Give a reason for your answer.The letter grade in this course is a function of your numerical grade.

Revolt · Accepted Answer

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Question 5

State which of the following sets of ordered pairs represent a function.Set A: (5, 2), (4, 3), (3, 4), (2, 5)Set B: (-1, -6), (0, 2), (1, 2), (3, 6)Set C: (2, 1), (4, 2), (2, 3), (8, 4)

Revolt · Accepted Answer

Set A and Set B

Question 6

Write the relation as a set of ordered pairs.

Revolt · Accepted Answer

ordered pairs: {(–2, 1), (0, –1), (2, –3)}

Question 7

Write the relation as a set of ordered pairs.

Revolt · Accepted Answer

B

Question 8

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships do NOT represent functions?Table Ax-8-306y244972Table Bx9152438y-14-165329Table Cx152424100y-1653297Table Dx-8-506y244972

Revolt · Accepted Answer

Table C

Question 9

Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.

Revolt · Accepted Answer

Yes, the equation is a function. Each x-value produces exactly one y-value, so its graph passes the vertical line test.

Question 10

Write the relation as a set of ordered pairs.

Revolt · Accepted Answer

ordered pairs: {(1, –1), (2, 0), (3, 1)}

Understand Functions Answers

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