Writing Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the independent variable in a function?

Back

The independent variable is the input value that can be changed or controlled in a function.

Front

What is the dependent variable in a function?

Back

The dependent variable is the output value that depends on the independent variable.

Front

How do you calculate the cost of services based on hourly rates?

Back

Multiply the hourly rate by the number of hours worked.

Front

What is the formula for a linear function?

Back

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

Front

If f(x) = 3x + 2, what is f(4)?

Back

f(4) = 3(4) + 2 = 14.

Front

What does it mean for a function to be linear?

Back

A linear function creates a straight line when graphed, indicating a constant rate of change.

Front

How do you determine the total cost for multiple items with a base price and additional costs?

Back

Calculate the total cost by adding the base price to the product of the additional cost per item and the number of additional items.

Front

What is the slope of a line in a linear function?

Back

The slope (m) represents the rate of change of the dependent variable with respect to the independent variable.

Front

If a function is represented as f(x) = 5x, what is the output when x = 10?

Back

f(10) = 5(10) = 50.