Unit 5: Functions Review

1. Function f gives the height of the water in Jada's aquarium in centimeters (cm) as a function of time in minutes.

   Select all the true statments.

• f(20) = 4

• f(3) = 10

• f(7) = f(9)

• f(4) > f(5)

• f(4) < f(7)

Function f is represented by f(x)=5(x+11).

Find f(-2).

Function f is represented by f(x)=5(x+11).

Find the value of x such that f(x)=90 is true.

1. Everyday Jada walks to school.

2. The function D gives her distance from school, in meters, t minutes since she left home. 

Which equation tells us, “Jada is 600 meters from school after 5 minutes”?

• D(5) = 600

• D(600) = 5

• t(5) = 600

• t(600) = 5

1. A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.

Select the best description of the range of this function.

• The range includes all numbers from 5 to 12.5.

• The range includes all integers between 0 and 12.5.

• The range includes all numbers from 0 to 8.5.

• The range includes all numbers from 0 to 12.5.

Function P gives the height of a plant in centimeters measured in weeks since planting.

Which statement represents the meaning of the equation P (10) = 22

• The height of the plant after 22 weeks is 10 centimeters.

• The height of the plant after 10 weeks is 22 centimeters.

• The plant is 22 inches tall after 10 days.

• 1. The height of the plant is 10 centimeters.

Function C gives the amount of ice cream sales in dollars, as a function of the increase in temperature, t, degrees. Match each expression or equation in function notation with what it means in this situation.

• C (4) = 20

• 
• C (20) = C (30)

• 
• C (10)

• 
• C (20) - C (10) = 100

• 
• C (5) < C (15)

• 

1. To raise funds for a trip, members of a high school math club are holding a game night in the gym. They sell tickets at $5 per person. The gym holds a maximum of 250 people. The amount of money raised is a function of the number of tickets sold.

Which statement accurately describes the domain of the function?

• All numbers less than 250.

• All integers.

• All positive integers less than or equal to 250.

• All positive integers.

Function M gives the amount of money, in dollars, Will makes for each hour he works.

Match equation in function notation represents the statement that intprets it.

• M (4) = 100

• The total money Will makes after 6 hours of work.

• M (6)

• Will makes $250 after 10 hours of work.

• M (9)

• After working for 4 hours, Will makes $100

• M (h) = 75

• The total money Will make after 9 hours of work.

• M (10) = 250

• After some time, will makes $75.

1. Function C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n)=4+3n. 

Find a value of for which C(n) = 31