Questions: Sketch a graph of f and use it to make a conjecture about the values of f(a), lim x→a* f(x), lim x→a+ f(x), and lim x→a f(x), or state if they do not exist. f(x) = (x^2-100)/(x+10), a = -10 Make a conjecture about the value of f(-10). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value of f(-10) = (Type an integer or a decimal) B. The value of f(-10) does not exist. Make a conjecture about the value of lim x→-10° 100. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit exists. lim x→-10° (x^2-100)/(x+10) = (Type an integer or a decimal) B. The limit does not exist.

Transcript text: Sketch a graph of $f$ and use it to make a conjecture about the values of $f(a)$, $\lim _{x \rightarrow a^{*}} f(x)$, $\lim _{x \rightarrow a^{+}} f(x)$, and $\lim _{x \rightarrow a} f(x)$, or state if they do not exist. \[ f(x)=\frac{x^{2}-100}{x+10}, a=-10 \] Make a conjecture about the value of $\mathrm{f}(-10)$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value of $f(-10)=$ $\square$ (Type an integer or a decimal) B. The value of $\mathrm{f}(-10)$ does not exist. Make a conjecture about the value of $\lim _{x \rightarrow-10^{\circ}} 100$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit exists. $\lim _{x \rightarrow-10^{\circ}} \frac{x^{2}-100}{x+10}=$ $\square$ (Type an integer or a decimal) B. The limit does not exist.