Question

Question is in the photo. Disregard checked answer I just guessed don’t know if it’s right or wrong

Answer 1

0, 3, and 6

Explanation:

Given the second derivative of the function, f(x) below:

`f^(\prime)^(\prime)(x)=x^2(x-3)(x-6)`

To find the x-coordinate of the point of inflection, set the second derivative of the function equal to zeroand solve for x:

`\begin{gathered} x^2(x-3)(x-6)=0 \\ \implies x^2=0,x-3=0,x-6=0 \\ \implies x=0,3,6 \end{gathered}`

The x-coordinates of the point of inflection are 0, 3, and 6.