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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.

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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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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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