Questions: Graphs and Functions Evaluating a piecewise-defined function Suppose that the function f is defined, for all real numbers, as follows. f(x) = - 1/2 x + 1 if x <= -2 - -(x-1)^2 + 3 if -2 < x <= 1 - 1/4 x + 2 if x > 1 Find f(-2), f(-1), and f(3). f(-2) = f(-1) = f(3) =
Transcript text: Graphs and Functions
Evaluating a piecewise-defined function
Suppose that the function $f$ is defined, for all real numbers, as follows.
\[
f(x)=\left\{\begin{array}{ll}
\frac{1}{2} x+1 & \text { if } x \leq-2 \\
-(x-1)^{2}+3 & \text { if }-21
\end{array}\right.
\]
Find $f(-2), f(-1)$, and $f(3)$.
\[
\begin{array}{c}
f(-2)=\square \\
f(-1)=\square \\
f(3)=\square
\end{array}
\]
Solution
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