using the section of the graph shown, which of these potential roots of the function should you test…

using the section of the graph shown, which of these potential roots of the function should you test first?\n$f(x)=2x^{3}-9x^{2}-6x + 40$\n-5\n-2\n1\n8\ndone

using the section of the graph shown, which of these potential roots of the function should you test first?\n$f(x)=2x^{3}-9x^{2}-6x + 40$\n-5\n-2\n1\n8\ndone

Answer

Explanation:

Step1: Recall root - location from graph

The roots of a function are the x - values where the graph of the function intersects the x - axis. From the graph, we can see that the function intersects the x - axis between (x=-2) and (x = 1).

Step2: Evaluate options

We are given options (-5), (-2), (1), and (8). Since the graph shows the root is in the vicinity of the values between (-2) and (1), we should test the value closest to the likely root - location first. Among the given options, (-2) is the value closest to the region where the graph crosses the x - axis.

Answer:

B. -2