X+4x+x-6 P+x-2 x+1,-2 Where is the function f(x)= x=-2 discontinuous? Oa. 1 Ob. -2 Oc. 1, -2 Od. The function is continuous everywhere.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Where is the function \( f(x) = \)**

\[
f(x) = 
\begin{cases} 
\frac{x^3 + 4x^2 + x - 6}{x^2 + x - 2} & \text{if } x \neq 1, 2 \\
2 & \text{if } x = -2 \\
4 & \text{if } x = 1 
\end{cases}
\]

**discontinuous?**

- a. 1
- b. -2
- c. 1, 2
- d. The function is continuous everywhere.

This problem asks to locate the points of discontinuity for the given piecewise function.
Transcribed Image Text:**Where is the function \( f(x) = \)** \[ f(x) = \begin{cases} \frac{x^3 + 4x^2 + x - 6}{x^2 + x - 2} & \text{if } x \neq 1, 2 \\ 2 & \text{if } x = -2 \\ 4 & \text{if } x = 1 \end{cases} \] **discontinuous?** - a. 1 - b. -2 - c. 1, 2 - d. The function is continuous everywhere. This problem asks to locate the points of discontinuity for the given piecewise function.
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