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PCAT Quantitative Reasoning – Inverse Function Graph

  • by Sam
  • Oct 25, 2017
  • PCAT Question of the Day

What is the inverse of the function shown on the graph below?

Explanation

A is correct. The curve shown on the graph appears to be a polynomial function. In fact, it has a similar shape to the graph of y = x2 except that the curve has been translate up about 5 units. Therefore, the most likely equation is y = x2 + 5, which we can confirm by plugging in various points from the graph:

We aren’t quite finished yet because the question asks for the inverse of this function. To find the inverse, we swap the x and y values in the function equation and isolate y:

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