Which of the following is true about the graph of $y=\ln |x^2-1|$ in the interval $(-1,1)$?

Suppose a contour map is given for a function $f$, and you are asked to estimate the partial derivatives $f_x(2,1)$ and $f_y(2,1)$ at the point $(2,1)$. Which of the following best describes how you would use the contour map to estimate these partial derivatives?

Which of the following explains why a function $f\left(x\right)$ is discontinuous at $x=a$?

Given the function $f\left(x\right)=x^2$, what is the average rate of change of $f\left(x\right)$ on the interval $(-1,2)$?

Suppose the graph of the function $f$ is shown above. What is $\underset{x\to -1}{lim}f\left(f\right(x\left)\right)$?

Which of the following functions is continuous on the interval $(0,1)$?

If a function $f$ is continuous on $(-\infty ,\infty )$, which of the following statements is true about its graph?

Given that the definite integral from $0$ to $\pi$ of ${\sin }^4\left(x\right)$ $dx$ equals $\frac{3\pi }{8}$, what is the value of the definite integral from $0$ to $\pi$ of ${\sin }^4(\pi -x)$ $dx$?

Evaluate the limit: $\underset{h\to 0}{lim}\frac{{(2+h)}^2-4}{h}$