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September 18th, 2015, 07:08 PM   #1
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Exclamation 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.
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September 18th, 2015, 08:39 PM   #2
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Below is the first. The second can be done in a similar fashion.

$\displaystyle f(x) = \begin{cases}2 - 3x^2/4 & \text{if } -2 \leqslant x < -1 \\
3 & \text{if } \ x = -1 \\
2 - 3x^2/4 & \text{if } -1 \leqslant x < 2 \\
-3x^2/4 + 6x - 10 & \text{if } \ 2 < x \leqslant 4\end{cases}$
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September 19th, 2015, 06:39 AM   #3
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skipjack is assuming that the curved portions are parabolas. That cannot be determined from the graphs.
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September 19th, 2015, 08:22 AM   #4
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Quote:
Originally Posted by DerGiLLster View Post



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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