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Mathematics 17 Online
OpenStudy (anonymous):

My question is in the comments. Please help me. I think the answer is A.

OpenStudy (anonymous):

OpenStudy (akashdeepdeb):

Why do you think the answer is A ?

OpenStudy (anonymous):

Because the graph is increasing. I also think the answer could be C

OpenStudy (akashdeepdeb):

How is the graph increasing for A and C?

OpenStudy (akashdeepdeb):

Always move to the right. From negative to positive. From -2 to 0, the value INCREASES from ~2 to ~6. And a similar pattern is seen for all values of x<0. Hence, for x<0, f(x) is increasing. On the other hand; From 0 to 2, the value DECREASES from ~6 to ~2. A similar pattern is seen for the rest x>0. Thus, for x>0, f(x) is decreasing. The answer is D. Understood? :)

OpenStudy (anonymous):

Yes thank you. Very helpful.

OpenStudy (anonymous):

Can you help me with one more please?

OpenStudy (akashdeepdeb):

Yes, try it yourself once.

OpenStudy (anonymous):

OpenStudy (akashdeepdeb):

What do you think? I gave you the explanation. This is a very similar problem. :)

OpenStudy (anonymous):

A?

OpenStudy (akashdeepdeb):

Why?

OpenStudy (akashdeepdeb):

If they talk about x < -2, move right, see how the function works from -4 ---> -2 If x > 2, more right, see how the function works from 2 ----> 5 etc etc

OpenStudy (anonymous):

So it is A?

OpenStudy (akashdeepdeb):

The graph is increasing when e move from -2 to -4 or to -6, but that is not the convention. To really judge is a function is increasing or not we see how it increases from a lower x to a higher x. It, hence, is decreasing for x < -2

OpenStudy (anonymous):

So B?

OpenStudy (akashdeepdeb):

x > -2 ? The y value is increasing and NOT decreasing. Because if we move from -2 to say 10, the value of f(10) > f(-2)

OpenStudy (anonymous):

My head hurts. So is it D? I think it's D.

OpenStudy (akashdeepdeb):

CORRECT ANSWER!

OpenStudy (anonymous):

YAY! THANK YOU!!!

OpenStudy (anonymous):

any more questions?

OpenStudy (anonymous):

No thanks I got them all.

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