Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. f (x) = x³ + 2x² + x - 5 A) relative maximum: (-1.00, -5.00) Relative minimum: (-0.33, -5.15) B) relative maximum: (-0.33, -5.15) Relative minimum: (-1.00, -5.00) C) relative maximum: (-5.00, -1.00) Relative minimum: (-5.15, -0.33) D) relative maximum: (-5.15, -0.33) Relative minimum: (-5.00, -1.00) E) relative maximum: (-5.15, -93.58) Relative minimum: (-5.00, -85.00)

Question

Quizplus · Accepted Answer

The function $f(x) = x^3 + 2x^2 + x - 5$ is a cubic function, which typically has one relative maximum and one relative minimum. By graphing the function or using calculus to find the derivative and solve for critical points, we can determine that the function has a relative maximum at (-1.00, -5.00) and a relative minimum at (-0.33, -5.15).

Use a Graphing Utility to Graph the Function and Approximate