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

Which graph represents a function?

Revolt · Accepted Answer

Option D

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

Question 4

Which ordered pair could be removed to make this relation a function?

Revolt · Accepted Answer

(4, –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

any real number except 5; 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.The independent variable is represented by the output values.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.The number of weeks is the output value.

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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