Question

Help thank you! A B C or D

Answer 1

D.

Explanation:

f(x) = |x|

|x| = x for x > or = 0

|x| = -x for x < 0

At x = 0

Left limit = Right limit = Function value = 0

|x| = is continuous at x = 0.

Left derivative (at x = 0) = -1

Right derivative (at x = 0) = 1

Answer 2

below

Explanation:

'x' cannot be zero because you would then have an illegal fraction with a zero denominator

the only interval listed that does not include zero is ( 1, +inf)