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.
College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc3ab675-e44a-4eed-802f-660b9860a018%2F2ccab7bd-910e-4dbf-adc7-532125aad246%2Fzy85odvj_processed.png&w=3840&q=75)
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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