Given the piecewise function, evaluate it for the given values. 3x + 2, if x > 2 (x – 2)²,if – 5

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i just want to know if my part d is right or no.

### Question 7: Piecewise Function Evaluation

Given the piecewise function, evaluate it for the given values.

\[ f(x) = 
\begin{cases} 
3x + 2, & \text{if } x \geq 2 \\
(x - 2)^2, & \text{if } -5 \leq x < 2 \\
\frac{1}{2}x + 5, & \text{if } x < -5 
\end{cases}
\]

- **a.** \( f(5) = 17 \)

- **b.** \( f(0) = 4 \)

- **c.** \( f(-6) = 2 \)

- **d.** \( f(3.5) = 12.5 \)
Transcribed Image Text:### Question 7: Piecewise Function Evaluation Given the piecewise function, evaluate it for the given values. \[ f(x) = \begin{cases} 3x + 2, & \text{if } x \geq 2 \\ (x - 2)^2, & \text{if } -5 \leq x < 2 \\ \frac{1}{2}x + 5, & \text{if } x < -5 \end{cases} \] - **a.** \( f(5) = 17 \) - **b.** \( f(0) = 4 \) - **c.** \( f(-6) = 2 \) - **d.** \( f(3.5) = 12.5 \)
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