A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.
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Question

Quizplus · Accepted Answer

From the graph, we see that the function reflects across the line y = x to obtain its inverse. Therefore, we can simply draw the line y = x and reflect the points of the function across that line to obtain the inverse. The graph of f(x) is a diagonal line going through the points (-4,-4) and (4,4), so its inverse should also be a diagonal line going through those same two points, but reflected across the line y = x. The only answer choice that accurately represents this is C.

A One-To-One Function F Is Given