Q5 /-x, x < 0 3-x, 0≤x <3. (x - 3)², x ≥3 Determine where f is not continuous. Show all your work. Sketch the graph and label all the parts. Let f(x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question 5**

Let \( f(x) \) be defined as follows:
\[ f(x) = 
\begin{cases} 
\sqrt{-x}, & \text{if } x < 0 \\
3 - x, & \text{if } 0 \leq x < 3 \\
(x - 3)^2, & \text{if } x \geq 3 
\end{cases}
\]

**Determine where \( f \) is not continuous. Show all your work. Sketch the graph and label all the parts.**
Transcribed Image Text:**Question 5** Let \( f(x) \) be defined as follows: \[ f(x) = \begin{cases} \sqrt{-x}, & \text{if } x < 0 \\ 3 - x, & \text{if } 0 \leq x < 3 \\ (x - 3)^2, & \text{if } x \geq 3 \end{cases} \] **Determine where \( f \) is not continuous. Show all your work. Sketch the graph and label all the parts.**
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