use your calculator to find the real zero(s) and the relative minimum of the function f(x)=3x³ - 2x² - 4x…

use your calculator to find the real zero(s) and the relative minimum of the function f(x)=3x³ - 2x² - 4x - 6. the real zero(s) is (are) . round to 4 decimal places. the relative minimum is . round to 4 decimal places.

use your calculator to find the real zero(s) and the relative minimum of the function f(x)=3x³ - 2x² - 4x - 6. the real zero(s) is (are) . round to 4 decimal places. the relative minimum is . round to 4 decimal places.

Answer

Answer:

The real zero(s): 1.6577 The relative minimum: -10.1947

Explanation:

Step1: Use calculator's zero - finding function

Input (y = 3x^{3}-2x^{2}-4x - 6) into a graphing calculator. Use the zero - finding feature to find the real root of the function. The real root of the function (f(x)=3x^{3}-2x^{2}-4x - 6) is approximately (x = 1.6577) (rounded to 4 decimal places).

Step2: Use calculator's minimum - finding function

Use the minimum - finding feature on the graphing calculator for the function (y = 3x^{3}-2x^{2}-4x - 6). The relative minimum of the function occurs at a certain (x) - value and the (y) - value of the relative minimum is approximately (y=-10.1947) (rounded to 4 decimal places).