Which of the following statements is true

Question

f(x)= {3x=1 for x≤2

{5x-3 for x>2

Which of the following statements is true. the function is defined above

A) f is neither continous nor differentiable at x=2

B) f is continous but not differentable at x=2

C) f s differentiable but not continous at x=2

D) f is both continous and different at x=2

please help

Answer 1

To be continuous then when you plug in x = 2 to both parts, you'd need to get the same value.

To be differentiable, both parts would need to have the same slope at x = 2