Introduction to Functions Answers

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?

✔ any real numberany real number except –2any real number except 5 and –2

The range is [___].

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

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

✔ all real numbersall real numbers greater than or equal to –2{x: x = –2, –1, 0, 1, 2}{y: y = –2, –1, 0, 1, 2}

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

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.

Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?

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

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.

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?

Which graph represents a function?

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

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

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.

Which represents a function?

Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?

any real number✔ any real number except 5any real number except 5 and –2

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.