Question

, Which of the following describes the graph of y=|2x+6|

a. only continuous
b. only differentiable
c. both a and b
d. not continuous, not differentiable
e. constant

please and thank you.. :)

Answer 1

it is continuous because it has no disconnects. It is not differentiable at x=-3 because the curve (line) takes a sharp turn there.

Answer 2

the absolute value function will always produce a point like this when the function inside passes through zero.

Answer 3

:D... Thanks!