Function Notation

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• 
  Ms. Brackemyer starts with 8 pencils and ends with 52.

• 
  Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

• 
  After 5 week the plant is 4 inches tall

• 
  After 4 weeks the plant is 5 inches tall

• The plant grows at a rate of 5/4 inch per week

• The plant grows at a rate of 1 inch per week

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

• 
  g(8)=8.  This means that after 8 packages of gum, the company makes $8.

• 
  g(8)=42.  This means that 8 packages of gum costs $42.

• 
  g(8)=24.  This means that 8 packages of gum costs $24.

• 
  g(8)=28.  This means that 8 packages of gum costs $28.

John is tracking the growth of a plant in centimeters. The function g(d) = 2d - 5 represents the growth of the plant, where "d" is the number of days since John started tracking. What does g(10) = 15 mean?

• The plant grew 15 centimeters in 10 days.

• The plant grew 10 centimeters in 15 days.

• The plant grew 5 centimeters in 10 days.

• The plant grew 10 centimeters in 5 days.

At D-Luxe Detailing, teams of employees carefully wash and detail customers' cars. The function f(x) gives the total number of hours they spend servicing x cars.

What does f(5) < 5 tell you?

• The employees service 5 cars in under 5 hours

• In 5 hours, the employees service fewer than 5 cars

Michelle is an artist, and she sells posters at a local café. When she sells x posters, she makes f(x) dollars.

What does f(5) =10 tell you?

• If Michelle sells 10 posters, she makes $5.

• If Michelle sells 5 posters, she makes $10.

Given the below graph of a function:

f(5) =

• 0

• 6

• 4

Given the below graph of a function:

f(8) =

• 0

• 6

• 4

Given the below graph of a function:

f(-4) =

• -7

• -1

• -5

Given the below graph of a function:

f(6) =

• -7

• 1

• -5