Use the given graph of the function to find the x-values for which f is not differentiable.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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**Question:**
Use the given graph of the function to find the \( x \)-values for which \( f \) is not differentiable.

**Graph Explanation:**
The graph provided is a Cartesian plane showing the plot of the function \( f(x) \). The function shown comprises several key features:
1. There is a discontinuity at \( x = -2 \). At this point, the function jumps from a value of approximately 3 to a value near 1 without connecting directly.
2. At \( x = 1 \), the function has a sharp point or cusp. The graph changes direction abruptly, indicating a point where the function is not smooth.
3. There is also another discontinuity at \( x = 4 \). At this point, the graph shows a jump from a value of approximately -2 to a value of about 1.5.

These discontinuities and the sharp point are indicative of \( x \)-values where the function is not differentiable. 

**Answer:**
Answer (separate by commas): \( x = \)
Transcribed Image Text:**Question:** Use the given graph of the function to find the \( x \)-values for which \( f \) is not differentiable. **Graph Explanation:** The graph provided is a Cartesian plane showing the plot of the function \( f(x) \). The function shown comprises several key features: 1. There is a discontinuity at \( x = -2 \). At this point, the function jumps from a value of approximately 3 to a value near 1 without connecting directly. 2. At \( x = 1 \), the function has a sharp point or cusp. The graph changes direction abruptly, indicating a point where the function is not smooth. 3. There is also another discontinuity at \( x = 4 \). At this point, the graph shows a jump from a value of approximately -2 to a value of about 1.5. These discontinuities and the sharp point are indicative of \( x \)-values where the function is not differentiable. **Answer:** Answer (separate by commas): \( x = \)
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