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State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

A piecewise-linear function is also called a step function.

Short Answer

Expert verified

The given statement is True.

Step by step solution

01

Step 1. State the concept.

Step Function: The graph of a step function is a series of line segments.

For example – the Greatest Integer function

Greatest Integer Function, written as f(x)=x, where f(x)is the greatest integer not greater than x. For example, 6.8=6 because 6 is the greatest integer that is not greater than 6.8.

f(x)=x

02

Step 2. Explanation of the statement. 

From the graph of a step function, it can be observed that each part of a step function is linear, therefore, this type of function is called a piecewise-linear function.

03

Step 3. Write whether the statement is true or false.

The given statement “A piecewise-linear function is also called a step function.” Is true.

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