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Which of the following functions has an inverse THAT IS NOT a function?

Which of the following functions has an inverse THAT IS NOT a function?-example-1

1 Answer

3 votes

Answer:

your choice is correct

Explanation:

f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.

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Comment on the graph

The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.

Step-by-step explanation: hope this helps a little bit

User Schot
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