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Describing Inverses of Functions

Describing Inverses of Functions 1.10 - Solution

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To determine the inverse of the function, we first have to find the equation of the given graph. From the diagram, we see that the graph is a straight line which means we can write it on Slope-Intercept Form. In this form, is the lines slope and is the -intercept.

From the graph, we can identify the -intercept as and the slope as By solving this equation for and switching the roles of and we can identify the inverse.
Solve for
Finally, to find the inverse, we change the roles of and The inverse function is