Problem

Graph the polynomial function.
\[
f(x)=x^{3}-2 x^{2}-15 x
\]

Answer

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Answer

\(\boxed{\text{The graph of the polynomial function } f(x)=x^{3}-2 x^{2}-15 x \text{ is plotted. The x-values range from -10 to 10 and the corresponding y-values are calculated using the function.}}\)

Steps

Step 1 :Generate a range of x-values from -10 to 10.

Step 2 :Calculate the corresponding y-values using the function \(f(x)=x^{3}-2 x^{2}-15 x\).

Step 3 :Plot these points on a graph to represent the polynomial function.

Step 4 :The graph shows the shape and behavior of the function across this range of x-values.

Step 5 :\(\boxed{\text{The graph of the polynomial function } f(x)=x^{3}-2 x^{2}-15 x \text{ is plotted. The x-values range from -10 to 10 and the corresponding y-values are calculated using the function.}}\)

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