Question

I NEED TO SEE IF IM RIGHT, HELP PLEASE: Determine the intervals on which the function is increasing, decreasing, and constant.

(graph shown below)

- Increasing on x < 0; Decreasing on x > 0
- Increasing on x > 0; Decreasing on x < 0
- Increasing on all real numbers
- Decreasing on all real numbers


I believe is is increasing on all real numbers, but I need help to make sure I got it right.

Answer 1

@mathmale

Answer 2

@sweetburger

Answer 3

@jim_thompson5910 @jigglypuff314

Answer 4

yes, you are correct

the graph is going uphill as you move from left to right no matter where you are on the graph

Answer 5

thank you! can i tag you in another question?

Answer 6

it's this: Determine the domain of the function.

f as a function of x is equal to the square root of seven plus x. And i am really confused on what to do first

Answer 7

solve 7+x >= 0 for x

Answer 8

this ?
f(x) = \[f(x)=\sqrt{7+x)}\]

Answer 9

the radicand (aka the stuff under the root) cannot be negative, so that's why 7+x >= 0

Answer 10

yes, thats it @jim_thompson5910 @sweetburger

Answer 11

think of 7+x as x+7

Answer 12

how would you get x all by itself (hint: you'll need to undo addition)

Answer 13

can you work me through how I'm supposed to solve this problem, or these types of problems b/c i have no idea