Question

Determine the intervals on which the function is increasing, decreasing, and constant. An absolute value function is shown facing down with a vertex of -1,0.

Answer 1

Answer:

Increasing on: $x\:$

Decreasing on: $x\:>\:-1$

Constant at : x=-1

Step-by-step explanation:

The given absolute value function is $f(x)=|x+1|$.

A function is said to be increasing if for all $x_1\:>\:x_0$,  $f(x_1)\:>\:f(x_0)$

From the graph, we can observe that the graph has a positive slope for all x-values less than -1. This implies that the interval of increase is $x\:$ or $(-\infty,-1)$

We can also observe that, the slope of this function is negative on the interval:$x\:>\:-1$ or $(-1,\infty)$.

At x=-1, the function is neither increasing nor decreasing. We say the function is constant at x=-1