Functions Review

A farmer picked 5 fewer peaches than 3 times the apples. The table shows how the number of peaches, p, depends on the number of apples, a. Choose the equation which represents the rule.

• p = 3a + 3

• p = 5 − 3a

• p = 3a − 5

• p = 3a + 5

A farmer picked 3 more peaches than 2 times the apples. The table shows how the number of peaches, p, depends on the number of apples, a. Choose the equation which represents the rule.

• p = 2a + 2

• p = 3 − 2a

• p = 2a − 3

• p = 2a + 3

Given the table, write an expression for the function, and describe what it does.

• y = 2x. y is double x.

• y = 3x. y is triple x.

• y = 2x+1. y is twice x plus 1.

• y = 2x-1. y is twice x minus 1.

There are 5 caterpillars in each tree, and there are 10 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of trees, t. Choose the equation which represents the rule.

• c = 5t + 5

• c = 10 − 5t

• c = 5t − 10

• c = 5t + 10

Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular price. The limit is one deal per customer. Is the relation (# sale items purchased, price) a function? Why or why not?

• It is a function because the input can be either 1 or 2 items, but the output will always be the same price.

• It is not a function because the input can be either 1 or 2 items, but the output will always be the same price

• It is a function because the input will always be the same price, but the output can be either one or two items

• It is not a function because the input will always be the same price, but the output can be either one or two items.

According to the table, is the exam grade a function of the number of hours spent studying?

• Yes, it is a function because no one failed the test

• Yes, it is a function because the student who studied more hours made the best grade.

• Yes, it is a function because the exam grade increases by 2 points for each hour studied.

• No, it is not a function because the input value of 3 hours has 2 different output values of 78 and 82.

Consider the two functions. Which statement is true?

• Function 1 has the greater y-intercept by 1 unit

• Function 2 has the greater y-intercept by 1 unit

• Function 1 has the greater y-intercept by 1/2 unit

• Function 2 has the greater y-intercept by 1/2 unit

Consider the two functions. Which statement is true?

• Function 2 has the greater x-intercept by 1/15

• Function 1 has the greater x-intercept by

  1/15

• Function 2 has the greater x-intercept by 1/5

• Function 1 has the greater x-intercept by 1/5

Consider the two functions. Which statement is true?

• Function 1 has the greater y-intercept by 1 unit

• Function 2 has the greater y-intercept by 1 unit

• Function 1 has the greater y-intercept by 3 units

• Function 2 has the greater y-intercept by 3 units

Consider the two functions. Which statement is true?

• Function 1 has a greater rate of change by 1/4

• Function 2 has a greater rate of change by

  1/4

• Function 1 has a greater rate of change by 1/2

• Function 2 has a greater rate of change by 1/2