The function f(x) = x⁹ - 9 has a point of inflection with an x-coordinate of A) 9 B) -9 C) 0 D) None exist

Name: The function f(x) = x 9 - 9 has a point of inflection with an x-coordinate of A) 9 B) -9 C) 0 D) None exist
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Question

Quizplus · Accepted Answer

A point of inflection occurs when the second derivative changes sign. Taking the derivative of the given function twice, we get f''(x) = 6⁹ F1F10. This is a constant, and it never changes sign. Therefore, there is no point of inflection, and the answer is D: None exist.

The Function F(x) = X9 - 9 Has a Point

The Function F(x) = X⁹ - 9 Has a Point