Question

graph the function and identify intervals on which the function is increasing, decreasing, or constant.

$f(x)=x^{3}-x^{2}-7x$

a. $(-\infty,1.897$
b. $1.897,\infty)$
c. $-2.193,3.193$
d. $3.193,\infty)$
e. $(-\infty,-1.230$
f. $-1.230,1.897$
g. there are no intervals where the function is decreasing.

select the intervals for which the function is constant. select all that apply.

Explanation:

Step1: Analyze the graph

A function is increasing when the slope of the graph is positive, decreasing when the slope is negative, and constant when the slope is zero.

Step2: Check intervals

Looking at the graph, we can see that there are no intervals where the function is constant.

Answer:

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