Interpreting Function Notation

Front

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

Back

The cost (in dollars) of renting a bicycle for x days.

Front

How do you calculate the cost of renting a bicycle for 5 days using the function B(x) = 8x + 25?

Back

B(5) = 8(5) + 25 = 65 dollars.

Front

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

Back

Set 8x + 25 = 185 and solve for x: 8x = 160, x = 20 days.

Front

What does g(2) represent in the function g(x) = 3x + 1?

Back

The value of the function g when x = 2.

Front

Calculate g(2) for the function g(x) = 3x + 1.

Back

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

Front

What does R(1.5) = 3 mean in the context of rainfall?

Back

After 1.5 hours, 3 cm of rain has fallen.

Front

How do you interpret the function notation j(x) = 2x + 3?

Back

It represents a linear function where j is dependent on x.

Front

Calculate j(-1) for the function j(x) = 2x + 3.

Back

j(-1) = 2(-1) + 3 = 1.

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 is the slope in the function B(x) = 8x + 25?

Back

The slope is 8, indicating the cost increases by $8 for each additional day.