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) (0,4)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never increasing.\n\n(b) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is decreasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never decreasing.\n\n(c) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is constant on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never constant.

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) (0,4)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never increasing.\n\n(b) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is decreasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never decreasing.\n\n(c) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is constant on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never constant.

Answer

Explanation:

Step1: Analyze the function's increasing behavior

A function is increasing when, as (x) increases, (y) also increases. Looking at the graph, from (x = 0) to (x=4), as (x) values get larger, the (y) - values of the function rise. So the interval where the function is increasing is ((0,4)).

Step2: Analyze the function's decreasing behavior

A function is decreasing when, as (x) increases, (y) decreases. Observing the graph, there is no part of the graph where (y) decreases as (x) increases. So the function is never decreasing.

Step3: Analyze the function's constant behavior

A function is constant when, as (x) increases, (y) remains the same. Looking at the graph, there is no part of the graph where (y) remains unchanged as (x) changes. So the function is never constant.

Answer:

(a) A. The function is increasing on the interval(s) ((0,4)) (b) B. The function is never decreasing (c) B. The function is never constant