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Problem 17 Easy Difficulty

For the function $ g $ whose graph is given, arrange the following numbers in increasing order and explain your reasoning:

$$ 0 \hspace{5mm} g'(-2) \hspace{5mm} g'(0) \hspace{5mm} g'(2) \hspace{5mm} g'(4) $$

Answer

$g^{\prime}(0)<0<g^{\prime}(4)<g^{\prime}(2)<g^{\prime}(-2)$

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ES

Eduardo S.

September 25, 2020

DG

David Base G.

October 23, 2020

That was not easy, glad this was able to help

PA

Pari A.

February 6, 2021

For the function whose graph is given, arrange the following numbers in increasing order and explain your reasoning:

PA

Pari A.

February 6, 2021

For the function whose graph is given, arrange the following numbers in increasing order and explain your reasoning:

Video Transcript

So here we want to order these in increasing order. So we see that G prime of negative two Um is going to be the slope of the graph at -2. We see that that's very positive. So this is going to be one of the higher up ones then looking at G prime of zero G prime of zero is negative. Um So that's going to be one of the lower ones. Then we know that G just the value of zero is going to be greater than G prime of zero. So that's going to go there and then everything else is going to have positive slope because we have G. of two, this is a positive slope. Mhm. And then G prime of four, we see as a positive slope but it's not as positive as um G prime of two. So this will be the order that it should go in. We have G prime of 00 G prime of four Do kind of to do prime of -2. Final answer.

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