Question

57. do not use the answer under the line in the explanation itself, only refer to it to make sure of your work.

Answer 1

Step-by-step explanation

Question 57

We are asked to get the absolute maxima and minima of the function.

An absolute extremum (or global extremum) of a function in a given interval is the point at which a maximum or minimum value of the function is obtained. Frequently, the interval shown is the function's domain, and the absolute extremum is the point corresponding to the maximum or minimum value of the entire function.

`f\left(x\right)=2x^3-15x^2+24x`

To get the absolute maxima and minima, we will use the graph below

From the graph, we can observe that

`\begin{gathered} \mathrm{Maximum}\left(1,\:11\right) \\ \mathrm{Mi}ni\mathrm{mum}\left(4,\:-16\right) \end{gathered}`