The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable?
-$$x = - 1$$

A) Differentiable
B) Continuous but not differentiable
C) Neither continuous nor differentiable

Question

The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable?
-$$x = - 1$$

A) Differentiable 
B) Continuous but not differentiable 
C) Neither continuous nor differentiable

Quizplus · Accepted Answer

At $x=-1$, the function appears to have a sharp corner or cusp, which means it is not differentiable. However, it is continuous because the limit from both sides exists and is equal. Therefore, the function is continuous but not differentiable at $x=-1$.

The Figure Shows the Graph of a Function x=−1x = - 1x=−1

The Figure Shows the Graph of a Function $x = - 1$