Question

use the graph of the function f(x)=x^3+x^2-x-1 to identify its relative maximum and minimum. thank you! <3

Answer 1

Relative maximum, x = -1

Relative minimum, x = 0.333

Step-by-step explanation:

Given:

f(x) = x^3 + x^2 - x - 1

To find:

To use the graph to identify the relative maximum and minimum point

See below the graph of f(x);

When the curve is concave down, it gives the maximum point and when the graph is concave up then it gives the minimum point.

Looking at the given graph, we can see that the curve is concave down at (-1, 0), so the relative maximum is at x = -1.

Looking at the given graph, we can see that the curve is concave up at (0.333, -1.185), so the relative minimum is at x = 0.333