To find: An expression for the function that represents the given graph.
The expression for the function that represents the given graph is .
Slope intercept form, .
Point slope form, .
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 and the other line has slope 2 and passes through 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 .
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!