Function Notation & Describe Rules

Front

What does the notation h(4) = 5 mean in the context of a function representing the height of a plant?

Back

After 4 weeks, the plant is 5 inches tall.

Front

What is the function that determines Juanita's monthly cell phone bill if she uses x minutes of airtime?

Back

C(x) = 0.20x + 15

Front

How do you represent the total cost of a holiday meal for x people, including a delivery fee?

Back

M(x) = 30 + 12.5x

Front

What function represents the rental cost of a paddle boat if Speedy Boat Rental charges a $15 deposit and $2 per hour?

Back

R(x) = 2x + 15

Front

Which function models the cost of Bob's Plumbing service, charging $25 per hour plus a $40 service fee?

Back

C(x) = 25x + 40

Front

Define function notation in mathematics.

Back

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

Front

What is the general form of a linear function?

Back

A linear function can be expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Explain the concept of slope in a linear function.

Back

The slope (m) represents the rate of change of the function; it indicates how much the output (y) changes for a unit change in the input (x).

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept (b) is the value of the function when the input (x) is zero; it is the point where the graph intersects the y-axis.

Front

How do you interpret the coefficients in a linear function?

Back

Coefficients represent the constant rate of change and the initial value of the function; for example, in f(x) = mx + b, m is the rate of change and b is the starting value.