GMAS Review (Functions - 35%)

Let f be a function such that f(x) = 2x − 4 is defined on the domain 2 ≤ x ≤ 6. The range of this function is

• 0 ≤ y ≤ 8

• 0 ≤ y < ∞

• 2 ≤ y ≤ 6

• −∞ < y < ∞

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

• integers

• whole numbers

• irrational numbers

• rational numbers

A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing r radios is given by the function c(r) = 5.25r + 125, then the value 5.25 best represents

• the start-up cost

• the profit earned from the sale of one radio

• the amount spent to manufacture each radio

• the average number of radios manufactured

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600 − 22x. In this function, x represents the number of

• computers repaired per week

• hours worked per week

• customers served per week

• days worked per week

• wider and opens downward

• wider and opens upward

• narrower and opens downward

• narrower and opens upward

• -5

• 11

• 21

• 43

The graph of y = f(x) is shown below.

Which point could be used to find f(2)?

• A

• B

• C

• D

The table below shows the average diameter of a pupil in a person’s eye as he or she grows older.

What is the average rate of change, in millimeters per year, of a person’s pupil diameter from age 20 to age 80?

• 2.4

• 0.04

• -2.4

• -0.04