Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (e) Is f a one-to-one function? Does fhave an inverse?

\begin{tabular}{|l|}\hline 3. Find the standard equation for the hyperbola \\ that has foci \( (0, \pm 5) \) and vertices \( (0, \pm 3) \). \end{tabular}

Graph the function. \( f(x)=\log _{4}(x+2) \)

e domain of the function \( f: f(x)=\sqrt{16-x^{2}} \)

Actividad 3 . Dibujar el gráfica de una función que verfique: \( \operatorname{Dom}(f)=\mathrm{R}-(-4,-1,2), \lim _{x \rightarrow-1} f(x)=\infty \), \( \lim _{x \rightarrow 3} f(x)=\infty, \lim _{x \rightarrow 2} f(x)=2 \) y \( \lim _{x \rightarrow \infty} f(x)=2 \)

State the equation of \( f(x) \) if its domain is \( \{x \in R \mid x \neq 0\} \), the \( y \)-intercept does not exist, and the equation of the horizontal asymptote is \( y=1 \).