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\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) \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, we can see that the function is rising (increasing) from (x = 1) to (x = 2) and from (x = 4) to (x = 5).
Answer:
((1,2),(4,5))