Question

math problem

Answer 1

@AZ

Answer 2

The other post was too long and confusing so let's start fresh

We look at it from left to right. Where is it decreasing?

Answer 3

infinity to -2?

Answer 4

look at the x-values

from negative infinity to what value does it decrease?

Answer 5

sorry i only see -2

Answer 6

oh, yeah, you're right

but remember it's NEGATIVE infinity

so how would you write that in interval notation?

Answer 7

(-infinity, -2)

Answer 8

az?

Answer 9

Perfect!

Now where else does it decrease?

Answer 10

-2 to infinity

Answer 11

-infinity

Answer 12

no, let's separate it because there's two different things happening

is it increasing or decreasing from -2 to 0

is it increasing or decreasing from 0 to infinity

Answer 13

-2 to 0 its increasing and 0 to infinity its decreasing

Answer 14

Good! And we already said it's decreasing from -infinity to -2 and we came up with (-infinity, -2)

now how would you write it for 0 to infinity?

Answer 15

(0, infinity)

Answer 16

is it negative infinity positive infinity

Answer 17

I don't understand the last question but


\(\color{#0cbb34}{\text{Originally Posted by}}\) @iuytyuioiuytyuiop
(0, infinity)
\(\color{#0cbb34}{\text{End of Quote}}\)

this is correct

Answer 18

so remember we said when we have two intervals like (-infinity, -2) and (0, infinity)

we have to use the U symbol between them

Answer 19

You got it!