Interpreting Function Notation

Front

What does the function notation B(x) = 8x + 25 represent?

Back

The function B(x) represents the cost (in dollars) of renting a bicycle for x days.

Front

If B(x) = 8x + 25, how do you find the number of days a bicycle was rented if the cost was $185?

Back

Set B(x) = 185 and solve for x: 185 = 8x + 25.

Front

What does C(2) = 100 mean in the context of the function C(x) = 25x + 50?

Back

It means the labor cost for Contractor A is $100 for 2 hours of labor.

Front

How do you evaluate the function j(x) = 2x + 3 at x = -1?

Back

Substitute -1 into the function: j(-1) = 2(-1) + 3 = 1.

Front

What is the value of g(2) if g(x) = 3x + 1?

Back

g(2) = 3(2) + 1 = 7.

Front

What does S(4) = 70 represent in the context of a babysitter's salary function S?

Back

It represents the salary of a babysitter who worked 4 hours is $70.

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 linear function represent?

Back

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

Front

What is the y-intercept in the function f(x) = 2x + 5?

Back

The y-intercept is 5, which is the value of f(x) when x = 0.

Front

How do you interpret the output of a function?

Back

The output of a function represents the value of the dependent variable based on the input of the independent variable.