Question

Consider the function -(x+1)^2
Identify the open interval on which the function is increasing.

Identify the open interval on which the function is decreasing

Answer 1

https://www.desmos.com/calculator/22wqwgryta

Answer 2

you have already solved your question.

Now lets find out increasing and decreasing intervals.

so increasing means when put x values the function get increased slowly. So x = -infinity to -1 (excluding -1) the function incseases

1. function is increased in (-infinity, -1)

same way when you put values to x from 0 to positive infinity, the function gets decreased

2. function is decreased in (-1, +infinity) be sure you don't include -1

hope it helps

Answer 3

ooh ok that makes sense, thank you!