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.

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: Analyze the graph

A function is increasing when, as (x) increases, (y) also increases. Looking at the given graph, we observe that for (x) values greater than (2), as (x) moves to the right (increases), (y) also moves upwards (increases).

Step2: Write the interval in interval notation

The interval where the function is increasing starts at (x = 2) (not including (2) since it's an open - interval) and continues to the right indefinitely. In interval notation, this is ((2,\infty)).

Answer:

A. The function is increasing on the interval(s) ((2,\infty))