Functions Practice

Natalie rents ski gear and takes a ski lesson. She pays $25 for each hour of the lesson and $10 for gear rental. If the lesson is more than 3 hours long, she only pays $5 for gear rental. Is the total cost of Natalie's lesson a function of the number of hours scheduled using complete sentences.

• Yes

• No

Troy says the graph does not represent a function. Is Troy correct? Explain your reasoning using complete sentences.

Evaluate responses using AI:

OFF

The rule below defines a function. The table shows input and output values of the function. Which function represents the rule? Input: x, a number; Output: y, 3 less than 2 times x Input, x −2 −1 0 1 2 Output, y −7 −5 −3 −1 1

• y = 2x − 3

• y = −2x + 3

• y = −3x + 2

• y = −x

The graph shows a function. The equation that represents the function is y = x3 + 1. Choose True or False.

Each input has exactly one output.

• True

• False

The graph shows a function. The equation that represents the function is y = x3 + 1. Choose True or False.

The graph shows a nonlinear function.

• True

• False

The graph shows a function. The equation that represents the function is y = x3 + 1. Choose True or False.

Some inputs have more than one output.

• True

• False

• True

• False

A function is represented by the equation y = x(x + 3). Complete the table and graph for the function.

Make note of your answers to use on the next question.

Bobby and his friends go bowling for the evening. They pay $10 for each game and $5 for shoe rental. If they play more than 5 lessons, they only pay $3 for shoe rental. Is the total cost of bowling a linear function? Explain your answer with complete sentences.

Evaluate responses using AI:

OFF

• Linear

• Nonlinear