Function Notation Practice

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 weeks the plant is 4 inches tall.

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

• After 4 weeks the plant is 5 inches tall.

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

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles. What does c(7) represent?

• A cost of $7 to ride the taxi.

• The cost to ride 7 miles.

• The minimum distance to ride a taxi.

• The minimum cost of a taxi.

The function d(x) where x=gallons of gas and d(x)= # of miles traveled. Interpret d(8)=300 in context.

• A car with 8 gallons of gas can travel 300 miles.

• A car traveling 8 miles has 300 gallons of gas.

• A car is traveling 300 miles.

• The car traveling 8 miles per hour can go 300 miles.

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

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

Find f(2).

• 0

• 3

• 4

• 5

Find f(1).

• -1

• 1

• 2

• 3

Using the graph, what does f(8) equal?

• 0

• 1

• 2

• 8

Function f gives the temperature, in degrees Celsius, t hours after midnight.

Choose the equation that represents the statement "At 1:30 p.m., the temperature was 20 degrees Celsius".

Hint: use military time!

• f(1:30)=20

• f(1.5)=20

• f(13:30)=20

• f(13.5)=20

Tyler filled up their bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after they began to fill the bathtub.

Explain the meaning of

B(1) < B(7)

• The depth of the water at 1 minute was less than the depth of the water at 7 minutes.

• 1 inch of water is less than 7 inches of water.

• The depth of the water at 1 minutes was more than the depth of the water at 7 minutes.

• 7 inches of water is more than 1 inch of water.

Tyler filled up their bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after they began to fill the bathtub.

Explain the meaning of

B(9) = 11

• The depth of the water at 11 minutes was 9 inches.

• The depth of the water at 9 minutes was 11 inches.

• After 11 minutes, the water rose 9 inches.

• The water was 9 inches deep after 11 minutes.