use the graph to determine\n(a) open intervals on which the\nfunction is increasing, if any\n(b) open…
use the graph to determine\n(a) open intervals on which the\nfunction is increasing, if any\n(b) open intervals on which the\nfunction is decreasing, if any.\n(c) open intervals on which the\nfunction is constant, if any.\n(a) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is increasing on the interval(s) (1,2),(3,4)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never increasing
Answer
Explanation:
Step1: Recall the definition of an increasing function
A function (y = f(x)) is increasing on an open interval ((a,b)) if for any (x_1,x_2\in(a,b)) with (x_1<x_2), we have (f(x_1)<f(x_2)).
Step2: Analyze the graph
Looking at the graph, as we move from left - to - right on the interval ((1,2)), the (y) - values of the function are rising. Also, as we move from left - to - right on the interval ((3,4)), the (y) - values of the function are rising.
Answer:
A. The function is increasing on the interval(s) ((1,2),(3,4))