is the graphed function differentiable at x = 0?\nchoose the correct answer below.\na. yes, because f(x) has…

is the graphed function differentiable at x = 0?\nchoose the correct answer below.\na. yes, because f(x) has a non - vertical tangent line at x = 0.\nb. no, because the tangent line to f(x) at x = 0 is vertical.\nc. no, because f(x) does not have a tangent line at x = 0.\nd. yes, because f(x) has two tangent lines at x = 0, both non - vertical.

is the graphed function differentiable at x = 0?\nchoose the correct answer below.\na. yes, because f(x) has a non - vertical tangent line at x = 0.\nb. no, because the tangent line to f(x) at x = 0 is vertical.\nc. no, because f(x) does not have a tangent line at x = 0.\nd. yes, because f(x) has two tangent lines at x = 0, both non - vertical.

Answer

Explanation:

Step1: Recall differentiability condition

A function is differentiable at a point if it has a well - defined non - vertical tangent line at that point. Looking at the graph, there is a sharp corner at (x = 0), which means the function does not have a single well - defined tangent line at (x=0).

Answer:

C. No, because f(x) does not have a tangent line at x = 0.