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How do I write equations for the piecewise function? Only C.

How do I write equations for the piecewise function? Only C.-example-1
User Heracek
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Piecewise Functions:

Graph c is given with three different functions that are defined in specific intervals:

g(x) is defined for x in (-∞ , -4]

h(x) is defined for x in (-4 , 2)

j(x) is defined for x in [2 , +∞)

.

g(x) is found to be


g(x)=-3\cdot√(-x-4)-1

h(x) is:


h(x)=(3)/(2)|x+2|-1

j(x) is:


j(x)=2\cdot\sqrt[3]{x-6}+4

Thus, the complete function is:

[tex]f(x)=\begin{cases}-3\cdot\sqrt[]{-x-4}-1,x\le-4 \\ \frac{3}{2}|x+2|-1,-4

User Gthanop
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