identify the interval(s) on which the function is increasing. a. (-2, ∞) b. (-2,2) c. (-3,3) d. (-3, ∞)
identify the interval(s) on which the function is increasing. a. (-2, ∞) b. (-2,2) c. (-3,3) d. (-3, ∞)
Answer
Explanation:
Step1: Recall the definition of an 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<x_2), we have (f(x_1)<f(x_2)). Graphically, this means the function rises as we move from left - to - right.
Step2: Analyze the given graph
Looking at the graph, we can see that the function starts to rise (increase) from (x=-2) and continues to rise for all (x) values greater than (-2).
Step3: Determine the interval
The interval where the function is increasing is ((-2,\infty))
Answer:
A. ((-2,\infty))