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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.1, Problem 51E

To determine

**To find:** An expression for the function that represents the given graph.

Expert Solution

The expression for the function that represents the given graph is

**Formula used:**

Slope intercept form,

Point slope form,

**Calculation:**

From the given graph, it is clear that there exist two lines with different domains. So, it leads to a piecewise function.

Notice that, the graph contains two straight lines.

One line has slope −1 and *y*-intercept is 3 on the domain

Use slope intercept form and obtain the equation of the line with slope −1 and *y*-intercept 3.

Use point slope form and obtain the equation of the line with slope 2 and the point

Combine equations (1) and (2) and the domains to obtain the required function.

That is, the piecewise function of the given graph is