Determine whether the following function is continuous​ and/or differentiable at x = -5.

Question

Is the function continuous at x = −5​?

Yes ____ Or No _____

Answer 1

x = -5

is not a function, as it fails the vertical line test

it is continuous, as you can draw the line without lifting your pen or pencil. there are no discontinuities

but it's not differentiable. it has no derivative. It's undefined also indeterminate. + or - infnity