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Chapter 2: Q. 42 (page 101)

In Problems 41–44, the graph of a piecewise-defined function is given. Write a definition for each function.

Short Answer

Expert verified

The piecewise-defined function is,

f(x)=10<x≤2x-1≤x≤0

Step by step solution

01

Step 1. Given Information 

We are given a graph of a piecewise-defined function,

02

Step 2. Defining the function

It can be seen from the graph that,

f(x)=1,0<x≤2

The part of graph below the x-axis represents a line that passes through (0,0).

Also for 0≤x≤1, the function will be,

f(x)=x

03

Step 3. Defining the function 

So, the function will be,

f(x)=10<x≤2x-1≤x≤0

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