a$.$ Determine whether the Mean Value Theorem applies to the function $f(x)=si{n}^{-1}x$ on the interval

$$

$k$

You answered:

C$.$

No; $f(x)$ is continuous on $-1,\frac{1}{2},$ but not differentiable on $(-1,\frac{1}{2}).17$

uarr, C$.$

Yes; $f(x)$ is not continuous on $-1,\frac{1}{2}$ and

A$.$ not differentiable on $(-1,\frac{1}{2}).$

No; $f(x)$ is differentiable on $(-1,\frac{1}{2}),$ but not

B$.$

continuous on $-1,\frac{1}{2}.$

No; $f(x)$ is continuous on $-1,\frac{1}{2},$ but not

C$.$ differentiable on $(-1,\frac{1}{2}).$

Yes; $f(x)$ is continuous on $-1,\frac{1}{2}$ and

x

No; $f(x)$

differ

A$.$

not differentiable on $(-1,\frac{1}{2}).$

No; $f(x)$ is differentiable on $(-1,\frac{1}{2}),$ but not

differentiable on $(-1,\frac{1}{2}).$

b$.$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

$(1)$

A$.$ The point$($s$)$ is$/$are $x=$

$($Type an exact answer, using $$ as needed.