Problem

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

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/14636/

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