determine if the function is differentiable or continuous

Question

𝑓(𝑥) = 2x²− 𝑥 + 6 𝑓𝑜𝑟 𝑎𝑙𝑙 𝑣𝑎𝑙𝑢𝑒𝑠 𝑜𝑓 𝑥

I did try to solve this but I think its wrong

Answer 1

The function is continuous for all values of x because:

a) f(c) is defined for all values of c

b) lim f(x) as x→c exists and is equal to f(c) for all values of c

The function is also differentiable for all values of x because the derivative (4x - 1) is also defined for all values of x.