AyddenJ104919 AyddenJ104919
  • 25-10-2022
  • Mathematics
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which function has an inverse that is also a function horizontal line test

which function has an inverse that is also a function horizontal line test class=

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OriaG596030 OriaG596030
  • 25-10-2022

If the graph of a function y = f(x) is such that no horizontal line intersects the graph at more than one point, then f has an inverse function.

A. The absolute value function f(x) = | x | is intersected twice by any horizontal line at y > 0. Thus this function does not have an inverse

B. The quadratic function f(x) = x^2 has a graph called parabola. If we plot any horizontal line at y>0, that line will intersect the function twice. This function has no inverse function

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