determine all intervals on which $f(x)geq0$.\nanswer attempt 2 out of 2\nadditional solution no solution
determine all intervals on which $f(x)geq0$.\nanswer attempt 2 out of 2\nadditional solution no solution
Answer
Explanation:
Step1: Identify x - intercepts
The x - intercepts are the points where the graph of (y = f(x)) crosses the x - axis. From the graph, the x - intercepts are (x=-8) and (x = 6).
Step2: Analyze the regions
We consider the intervals ((-\infty,-8)), ((-8,6)) and ((6,\infty)). For (x\in(-\infty,-8)), the graph of (y = f(x)) is above the x - axis ((y\geq0)). For (x\in(-8,6)), the graph is below the x - axis ((y\lt0)). For (x\in(6,\infty)), the graph is above the x - axis ((y\geq0)).
Answer:
((-\infty,-8]\cup[6,\infty))