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 September 18th, 2015, 07:08 PM #1 Newbie   Joined: Mar 2015 From: Chicago Posts: 22 Thanks: 1 How to find f(x) and g(x) in these graphs? f x.png What are they? Is it the closed or the open points? I cannot figure this out. Last edited by skipjack; September 18th, 2015 at 08:38 PM.
 September 18th, 2015, 08:39 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2216 Below is the first. The second can be done in a similar fashion. $\displaystyle f(x) = \begin{cases}2 - 3x^2/4 & \text{if } -2 \leqslant x < -1 \\ 3 & \text{if } \ x = -1 \\ 2 - 3x^2/4 & \text{if } -1 \leqslant x < 2 \\ -3x^2/4 + 6x - 10 & \text{if } \ 2 < x \leqslant 4\end{cases}$
 September 19th, 2015, 06:39 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 skipjack is assuming that the curved portions are parabolas. That cannot be determined from the graphs.
September 19th, 2015, 08:22 AM   #4
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Quote:
 Originally Posted by DerGiLLster What are they? Is it the closed or the open points? I cannot figure this out.
is the goal to find explicit, piece-wise equations for these functions, or is there more to the problem you haven't mentioned ... like limits, maybe?

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