determine all intervals on which $$ f ( x ) geq 0. $$
determine all intervals on which $$ f ( x ) geq 0. $$
Answer
Explanation:
Step1: Analyze the graph
We need to find the intervals where the graph of (y = f(x)) is above or on the (x -)axis ((y\geq0)).
Step2: Identify the intervals
- For (x\in(-\infty,-4]), the graph is on or above the (x -)axis.
- For (x\in[0,3]), the graph is above the (x -)axis.
- For (x\in[5,8]), the graph is above the (x -)axis.
Answer:
((-\infty,-4]\cup[0,3]\cup[5,8])