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The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent.

The Graph Of Fx Is Shown Below Estimate And List The Value Of X Where Fx Has A Horizontal Tangent class=

Sagot :

Using the critical point concept, it is found that f(x) has a horizontal tangent at x = 2 and at x = 7.

What are the critical points of a function?

The critical points of a function are the values of x for which:

[tex]f^{\prime}(x) = 0[/tex]

At these points, the behavior of the function changes from increasing to decreasing or vice-versa, and the tangent is horizontal.

Looking at the graph given in this problem, we see that the behavior changes from increasing to decreasing at x = 2, and from decreasing to increasing at x = 7, hence these are the values of x for which the tangent is horizontal.

You can learn more about the critical point concept at https://brainly.com/question/17087524

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