Introduction to Functions

Question 1

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?

Revolt · Accepted Answer

The independent variable is time and the dependent variable is distance.

Question 2

The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?

Revolt · Accepted Answer

{y: y = –7, –2, 3, 8}

Question 3

Determine the domain and range of the given function. The domain is . The range is .

Revolt · Accepted Answer

all real numbers; Selection 1: all real numbers; Selection 2: all real numbers greater than or equal to –2

Question 4

Question 5

Revolt · Accepted Answer

{y: y = –2, –1, 0, 1, 2}

Question 5

Which statements are true of functions? Check all that apply.All functions have a dependent variable.All functions have an independent variable.The range of a function includes its domain.A vertical line is an example of a functional relationship.A horizontal line is an example of a functional relationship.Each output value of a function can correspond to only one input value.

Revolt · Accepted Answer

All functions have a dependent variable.; All functions have an independent variable.; A horizontal line is an example of a functional relationship.

Question 6

Which represents a function?

Revolt · Accepted Answer

Option B

Question 7

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function? The value of x can be . The value of y can be .

Revolt · Accepted Answer

Selection 1: any real number except 5; Selection 2: any real number

Question 8

Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.

Revolt · Accepted Answer

The dependent variable is the total number of paintings.; The total number of paintings depends on the number of weeks that have passed.; This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Introduction to Functions Answers

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