Function Notation & Describe Rules

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the name of the function and x is the input variable.

Front

What does c(m) = 1.45m + 3.50 represent?

Back

This function represents the cost of a taxi ride for m miles, where 1.45 is the cost per mile and 3.50 is the base fare.

Front

What does c(7) mean in the context of the function c(m)?

Back

c(7) represents the total cost to ride the taxi for 7 miles.

Front

What does h(t) represent in the function h(t)?

Back

h(t) represents the height in inches of a plant after t weeks.

Front

What does h(4) = 5 mean?

Back

It means that after 4 weeks, the plant is 5 inches tall.

Front

What does p(x) = 5x + 12 represent?

Back

This function represents the total number of pencils Ms. Brackemyer has after collecting for x days, starting with 12 pencils and collecting 5 more each day.

Front

What does p(8) = 52 mean?

Back

It means that after 8 days, Ms. Brackemyer has a total of 52 pencils.

Front

How do you write an equation for a rental situation with a deposit and hourly fee?

Back

The equation is R(x) = 2x + 15, where R(x) is the total cost, x is the number of hours, 2 is the hourly rate, and 15 is the deposit.

Front

What does C(x) = 25x + 40 represent?

Back

This function represents the total cost of plumbing services, where 25 is the hourly rate and 40 is the service fee.

Front

What is the meaning of the slope in a linear function?

Back

The slope represents the rate of change of the function, indicating how much the output changes for a unit change in the input.