Question

where is the graph increasing?
(-2.55, 0) ∪ (2.55, ∞)
(0, ∞)
(-6.25, 36)
(-∞, -2.55) ∪ (2.55, ∞)

Explanation:

Step1: Understand the concept of increasing function

A function \(y = f(x)\) is increasing on an interval if for any two points \(x_1\) and \(x_2\) in the interval with \(x_1

Step2: Analyze the graph

Looking at the graph (assuming standard coordinate axes), we observe the behavior of the function. The function is increasing when the slope of the tangent line to the graph is positive. From the graph, we can see that the function is increasing in the intervals \((-\infty,- 2.55)\) and \((2.55,\infty)\)

Answer:

\((-\infty,-2.55)\cup(2.55,\infty)\)