Function Notation in Context

Front

What is function notation?

Back

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

Front

What does f(1) represent in function notation?

Back

f(1) represents the output of the function f when the input is 1.

Front

In the function c(m) = 1.45m + 3.50, what does c(7) represent?

Back

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

Front

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

Back

h(4) = 5 means that after 4 weeks, the plant is 5 inches tall.

Front

What does d(8) = 300 mean in the context of gas mileage?

Back

d(8) = 300 means that a car with 8 gallons of gas can travel 300 miles.

Front

If a question asks you to find f(2), what does that mean?

Back

It means to evaluate the function f at x = 2.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear function?

Back

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

Front

What does the y-intercept represent in a function?

Back

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

Front

How do you interpret the output of a function in context?

Back

To interpret the output, relate it back to the real-world scenario described by the function.