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Let  be defined by

\[f(x) = \left\{
\begin{array}{cl}
2-x & \text{ if } x \leq 1, \\
2x-x^2 & \text{ if } x>1.
\end{array}
\right.\]\

Calculate .

 Dec 28, 2021
 #1
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Part of your question i missing......

 Dec 28, 2021
 #2
avatar+179 
0

yeah...

 Dec 28, 2021
 #3
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0

Oops, the quesiton is "Calculate f(-3) + f(0) + f(3)".

 Dec 28, 2021
 #4
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-3 is <= 0 so the top equation applies       f(-3) = 2 - -3 = 5

o is <= 1    so the top equation applies     f(0) = 2-0 = 2

3 is > 1      so the bottom equation applies  f(3) = 2(3)-(3)^2  = -3      

                      5 + 2 -3 = 4

Guest Dec 28, 2021

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