Question

Can someone explain how to find where the interval on a graph increases, decreases, and is constant?? PLEASE HELP

Answer 1

do you have a picture, or a function ?

Answer 2

a picture

Answer 3

if you have a picture you do it with your eyeballs
can you post a screenshot of the picture?

Answer 4

got it

Answer 5

when you answer questions about increasing or decreasing, answer in terms of the x values, not the y values
in this case your curve is going down (decreasing) from \(-\infty\) to \(-2\)

Answer 6

from \(x=-2\) to \(x=1\) the curve is going up (increasing)

Answer 7

and it is constant (horizontal) after than, from \(1\) to \(\infty\)

Answer 8

if you need to write the answer in interval notation, i am sure you can do that
it is really more of a reading comprehension question, you have no equation to work with, just the picture
hope it is more or less clear

Answer 9

that helps a lot, thank you! can i ask two more questions about this graph?

Answer 10

how to find range and relative minimum?

Answer 11

nevermind i just found the range, so i just need relative min

Answer 12

range, you look at the possible y values
the little arrow pointing up on the left hand indicates that it goes up to \(\infty\) but the bottom most part of the curse is \(-4\) i think, making the range
\[[-4,\infty)\]

Answer 13

oh ok, is that what you got?

Answer 14

yes :)

Answer 15

k good
relative min is \(-4\)

Answer 16

in this case it is also the absolute min, but in general it doesn't have to be

Answer 17

oh whoops. i got -4 for the relative min but the question i got wrong was "the number at which f has a relative min"

Answer 18

oh, well i will stick with my answer, the relative min is -4
it occurs when x = -2, maybe that is what they were asking

Answer 19

yep, that was it. i see it now. thank you so much!

Answer 20

yw