Question

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

Answer 1

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

$g(x)=-3\cdot\sqrt{-x-4}-1$

h(x) is:

$h(x)=\frac{3}{2}|x+2|-1$

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