Function Notation in Context

Front

What does the notation B(9) = 11 mean in the context of a bathtub filling function?

Back

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

Front

What does h(4) = 5 represent in the context of plant growth?

Back

After 4 weeks the plant is 5 inches tall.

Front

What does c(7) represent in the context of a taxi cost function?

Back

The cost to ride 7 miles.

Front

Interpret d(8) = 300 in the context of gas consumption and travel distance.

Back

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

Front

How would you express that it was warmer at 9 a.m. than at 6 a.m. using function notation?

Back

f(9) > f(6).

Front

Define function notation in mathematics.

Back

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

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

What does the slope of a function represent?

Back

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

Front

What is the y-intercept in a function?

Back

The y-intercept is the value of the function when the input is zero (x=0).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.