Question

graph the function and identify intervals on which the function is increasing.
a. $(-5,\infty)$
(type your answer in interval notation.)
b. there are no intervals where the function is increasing.
identify the interval on which the function is decreasing. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. $(-\infty,-5)$
(type your answer in interval notation.)
b. there are no intervals where the function is decreasing.
identify the interval on which the function is constant. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a.
(type your answer in interval notation.)
b. there are no intervals where the function is constant.

Explanation:

To determine where a function is increasing, decreasing, or constant, we analyze its graph. A function is increasing when, as \(x\) values increase, \(y\) values also increase. It is decreasing when \(y\) values decrease as \(x\) values increase. A constant function has \(y\) values that do not change with \(x\) values. Based on the given options, since the increasing interval is \((-5,\infty)\) and the decreasing interval is \((-\infty,-5)\), there are no intervals where the function is constant.

Answer:

B. There are no intervals where the function is constant.