Let f be the function defined as f(x)= 3 for x

Question

Let f be the function defined as 
f(x)= 3 for x<5 
          x+7 for x≥ 5

Which of the following statements is true?

f is not differentiable at x = 5 because f is not defined at x = 5.
f is not differentiable at x = 5 because fis not continuous at x = 5.
f is not differentiable at x = 5 because the graph off has a vertical tangent at x = 5.
f is not differentiable at x = 5 because the graph of f has a cusp at x = 5.

Kunduz · Accepted Answer

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Let f be the function defined as f(x)= 3 for x<5