Let $p(x)=\frac{x^2-5x-36}{x-9}$. Which condition for continuity at $x=9$ fails?

Which function is continuous for every real number?

At which values of $x$ is $f(x)=\frac{1}{x^2-9}$ discontinuous?

Let $g(x)=\{\begin{array}{ll}3x-5& x<-1\\ x^2-5& x\ge -1\end{array}$. Classify the behavior at $x=-1$.

Let $r(x)=\{\begin{array}{ll}3x+7& x<1\\ x^2+4& x\ge 1\end{array}$. Classify the behavior at $x=1$.

The figure shows the graph of $u$. Classify the discontinuity at $x=-1$.

At which value of $x$ is $f(x)=\tan x$ NOT continuous?

At which value of $x$ does $u(x)=\frac{(x-3)(x-1)}{(x-3)(x+3)}$ have a REMOVABLE discontinuity?

The figure shows the graph of $p$. Classify the discontinuity at $x=4$.

Let $v(x)=\frac{x^2-8x+15}{x-3}$. Which condition for continuity at $x=3$ fails?

On which set is $f(x)=\frac{x}{x-9}$ continuous?

Classify the discontinuity of $f(x)=\frac{x-4}{x-2}$ at $x=4$.

At which value of $x$ does $f(x)=\frac{(x-4)(x+3)}{(x-4)(x+4)}$ have a REMOVABLE discontinuity?

Let $q(x)=\frac{x^2-8x-9}{x+1}$. Which condition for continuity at $x=-1$ fails?

Let $u(x)=\{\begin{array}{ll}-x-4& x<1\\ x^2-6& x\ge 1\end{array}$. Classify the behavior at $x=1$.

The figure shows the graph of $q$. Classify the discontinuity at $x=-3$.

At which value of $x$ does $u(x)=\frac{(x-9)(x-4)}{(x-9)(x+9)}$ have a REMOVABLE discontinuity?

On which set is $f(x)=\frac{x}{x+7}$ continuous?

On which set is $f(x)=\frac{x}{x+1}$ continuous?

The figure shows the graph of $r$. Classify the discontinuity at $x=3$.

Classify the discontinuity of $f(x)=\frac{x+7}{x^2-49}$ at $x=7$.

Let $r(x)=\{\begin{array}{ll}-2x+1& x<0\\ x^2+1& x\ge 0\end{array}$. Classify the behavior at $x=0$.

The figure shows the graph of $s$, drawn with a dashed vertical line. Classify the discontinuity at $x=1$.

Let $g(x)=\frac{x^2+8x+12}{x+6}$. Which condition for continuity at $x=-6$ fails?

Let $g(x)=\frac{x^2-x-20}{x+4}$. Which condition for continuity at $x=-4$ fails?

At which value of $x$ does $u(x)=\frac{(x-9)(x+3)}{(x-9)(x+9)}$ have a REMOVABLE discontinuity?

Let $s(x)=\frac{x^2-2x-3}{x-3}$. Which condition for continuity at $x=3$ fails?

Let $p(x)=\{\begin{array}{ll}4x+2& x<3\\ x^2+3& x\ge 3\end{array}$. Classify the behavior at $x=3$.

Classify the discontinuity of $u(x)=\frac{x-9}{x+5}$ at $x=9$.

Which function is continuous for every real number?