Let f be the function defined as f(x) = { 1 3x-4 for x <3 for x ≥3 Which of the following statements is true? Of is not differentiable at x = 3 because f is not continuous at x = 3. Of is not differentiable at x = 3 because f is not defined at x = 3. Of is not differentiable at x = 3 because the graph of f has a cusp at x = 3. Of is not differentiable at x = 3 because the graph off has a vertical tangent at x = 3.

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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Let f be the function defined as f(x) =
{
1
3x-4
for x <3
for x ≥3
Which of the following statements is true?
Of is not differentiable at x = 3 because f is not continuous at x = 3.
Of is not differentiable at x = 3 because f is not defined at x = 3.
Of is not differentiable at x = 3 because the graph of f has a cusp at x = 3.
Of is not differentiable at x = 3 because the graph off has a vertical tangent at x = 3.
Transcribed Image Text:Let f be the function defined as f(x) = { 1 3x-4 for x <3 for x ≥3 Which of the following statements is true? Of is not differentiable at x = 3 because f is not continuous at x = 3. Of is not differentiable at x = 3 because f is not defined at x = 3. Of is not differentiable at x = 3 because the graph of f has a cusp at x = 3. Of is not differentiable at x = 3 because the graph off has a vertical tangent at x = 3.
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