Question

Graph each polynomial function. Estimate the x-coordinates at which the relative maxima and relative minima occur.

$f\left(x\right)=x^3+2x^2-3x-5$

Short answer

The graph is:

The relative maximum has x-coordinate = -1.869 and the relative minimum has x-coordinate = 0.535.

Step-by-step solution

Step 1. Given

Given that a function is $f\left(x\right)=x^3+2x^2-3x-5$.

Step 2. To determine

We have to graph the function and estimate the x-coordinates at which the relative

maxima and relative minima occur.

Step 3. Calculation

We graph the given function using a graphing calculator.

From the graph the relative maximum has x-coordinate = -1.869 and the relative minimum has x-coordinate = 0.535.