Graph the following piecewise defined function and evaluate the function at the indicated values:
\[
f(x)=\left\{\begin{array}{ll}
3 x-1 & \text { if } x< -2 \\
x^{2}+1 & \text { if }-2 \leq x \leq 2 \\
-x+5 & \text { if } x> 2
\end{array}\right.
\]
- $f(0)$
- $f(-4)$
- $f(5)$

Answer

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Answer

$f(5) = \boxed{0}$

Steps

Step 1 ：Define the function in Python.

Step 2 ：Plot the function using matplotlib.

Step 3 ：Evaluate the function at the given points.

Step 4 ：The function is a combination of a linear function, a quadratic function, and another linear function, each defined for different intervals of x.

Step 5 ：The function evaluations are as follows:

Step 6 ：$f(0) = \boxed{1}$

Step 7 ：$f(-4) = \boxed{-11}$

Step 8 ：$f(5) = \boxed{0}$

Graph the following piecewise defined function and evaluate the function at the indicated values:\[f(x)=\left\{\begin{array}{ll}3 x-1 & \text { if } x< -2 \\x^{2}+1 & \text { if }-2 \leq x \leq 2 \\-x+5 & \text { if } x> 2\end{array}\right.\]- $f(0)$- $f(-4)$- $f(5)$

Answer

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Graph the following piecewise defined function and evaluate the function at the indicated values:
\[
f(x)=\left\{\begin{array}{ll}
3 x-1 & \text { if } x< -2 \\
x^{2}+1 & \text { if }-2 \leq x \leq 2 \\
-x+5 & \text { if } x> 2
\end{array}\right.
\]
- $f(0)$
- $f(-4)$
- $f(5)$