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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Front

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

Back

41 cents.

Tags

CCSS.7.EE.B.4A

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.

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF-IF.C.7B