identify the interval(s) on which the function is increasing\noa. (-2,2)\nob. (-2,∞)\noc. (-3,∞)\nod. (-3,3)
identify the interval(s) on which the function is increasing\noa. (-2,2)\nob. (-2,∞)\noc. (-3,∞)\nod. (-3,3)
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 that as we move from left - to - right along the (x) - axis, the graph of the function rises.
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 > - 2).
Answer:
B. ((-2,\infty))