Question

question #2
determine the interval over which the function is negative given the graph below.
(-3,0)
(1,0)
(3,0)
(-∞,-3)∪(1,3)
(-∞,-3)∪(3,∞)
(3,1)∪(-3,∞)
(-3,1)∪(3,∞)

Explanation:

Step1: Understand negative - valued function

A function is negative when its graph lies below the x - axis.

Step2: Identify x - intervals

From the graph, the function is below the x - axis for \(x< - 3\) and for \(1

Step3: Combine intervals

The combined interval for which the function is negative is \((-\infty,-3)\cup(1,3)\).

Answer:

\((-\infty,-3)\cup(1,3)\)