1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is differentiable at x = 2 hv D. is continuous and differentiable at x = 2 2. Which of the following would be a valid reason that the above function is non- differentiable at x = 0?' A. The graph contains a corner. B. The graph contains a discontinuity. C. The graph contains a cusp. D. The graph contains a vertical tangent. 3. What prevents an equation from being differentiable? A. Jump discontinuity C. Hole B. Cusp D. All of the above

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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1. The function shown
A. is continuous at x = 2
B. has a limit that exists at x = 2
C. is differentiable at x = 2
D. is continuous and differentiable at x = 2
2. Which of the following would be a valid reason that the above function is
non- differentiable at x = 0?'
A. The graph contains a corner.
B. The graph contains a discontinuity.
C. The graph contains a cusp.
D. The graph contains a vertical tangent.
3. What prevents an equation from being differentiable?
A. Jump discontinuity
C. Hole
B. Cusp
D. All of the above
Transcribed Image Text:1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is differentiable at x = 2 D. is continuous and differentiable at x = 2 2. Which of the following would be a valid reason that the above function is non- differentiable at x = 0?' A. The graph contains a corner. B. The graph contains a discontinuity. C. The graph contains a cusp. D. The graph contains a vertical tangent. 3. What prevents an equation from being differentiable? A. Jump discontinuity C. Hole B. Cusp D. All of the above
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