Step Functions Practice

Front

What is a step function?

Back

A step function is a piecewise constant function that jumps from one value to another, typically represented graphically as a series of horizontal line segments.

Front

What is the greatest integer function?

Back

The greatest integer function, denoted as [[x]], returns the largest integer less than or equal to x.

Front

How do you calculate the total cost of an order with a fixed shipping fee?

Back

To calculate the total cost, add the cost of the items ordered to the fixed shipping fee.

Front

What is the cost for mailing a package that weighs 2.1 ounces?

Back

41 cents.

Front

What type of function is represented by discrete values?

Back

Discrete Function.

Front

If f(x) = 2[[x-3.5]], what is f(2)?

Back

-4.

Front

What is the formula for a step function?

Back

A step function can be expressed as f(x) = c for x in [a, b), where c is a constant.

Front

What is the significance of the jump in a step function?

Back

The jump indicates a sudden change in the value of the function at specific points.

Front

How do you graph a step function?

Back

To graph a step function, plot horizontal line segments at each constant value and connect them with vertical lines at the points of discontinuity.

Front

What is the difference between a step function and a continuous function?

Back

A step function has jumps and is not continuous, while a continuous function has no breaks or jumps.