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Chapter 2: Q. 5 (page 100)

When functions are defined by more than one equation, they are called __________________ functions.

Short Answer

Expert verified

When functions are defined by more than one equation, they are called piecewise-defined functions.

Step by step solution

01

Step 1. Given information

We have been given a statement as: When functions are defined by more than one equation, they are called __________________ functions.

We have been asked to fill in the blank.

02

Step 2. Consider absolute value functions

The absolute value functionf(x)=xis defined as:

f(x)=xif x鈮�0

and f(x)=-x if x鈮�0

This function is defined by more than one equation.

Such functions are called piecewise-defined functions.

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Most popular questions from this chapter

A wire 10meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.

Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle.

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