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Mathematics 9 Online
OpenStudy (ellecullen):

Homework help please asap f(x)= (x-3)^2 -2 Give the open interval on which the function is increasing .

OpenStudy (loser66):

Any idea?

OpenStudy (loser66):

is it calculus or precalculus?

OpenStudy (loser66):

Hopefully this graph rings something https://www.desmos.com/calculator/t1otqnrsnp

OpenStudy (solomonzelman):

First differentiate the function (take it's derivative). Tell me what you get.

OpenStudy (solomonzelman):

what is troubling you, please ask @ElleCullen .

OpenStudy (anonymous):

is it \[f(x)=(x-3)^2-2\]?

OpenStudy (loser66):

@SolomonZelman that's why I asked whether it is cal or precal. If the course is cal, then differentiate is the best way to solve. If it is precal, we must use graph to solve

OpenStudy (solomonzelman):

sure, but she is silent ... don't know why

OpenStudy (anonymous):

if so it is a parabola that opens up (because the leading coefficient is positive) so it will be increasing from the first coordinate of the vertex to infinity

OpenStudy (solomonzelman):

yes

OpenStudy (anonymous):

fortunately it is already in vertex form, so you needn't compute anything

OpenStudy (ellecullen):

It is PreCalculus. I am not ready for Calculus yet, This cource is what I am repeating since I don't want any problems in College if I make it .

OpenStudy (ellecullen):

I graphed this equation. I get--> an upward parabola. I don't understand how I must give the open interval on which the entire function is increasing. Could it be something of -2?

jimthompson5910 (jim_thompson5910):

A function increases when the graph goes uphill as you read from left to right.

jimthompson5910 (jim_thompson5910):

|dw:1419387261768:dw|

jimthompson5910 (jim_thompson5910):

|dw:1419387270962:dw|

jimthompson5910 (jim_thompson5910):

you can have a piece of a function (ie an interval) increase as well |dw:1419387301200:dw|

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