When the function \( f(x)=\cos x \) is reflected across the \( x \)-axis, the resulting function is \( g(x)=-\cos x \). If the coordinates of the \( y \)-intercept of \( f(x)=\cos x \) are \( (0,1) \), what are the coordinates of the \( y \)-intercept of the reflected function \( g(x) \) ? (1 point) \( (1,0) \) \( (-1,0) \) \( (0,-1) \) \( (-1,1) \)

What is the range of \( y=-5 \sin (x) \) ? all real numbers \( -5 \leq y \leq 5 \) all real numbers \( -\frac{5}{2} \leq y \leq \frac{5}{2} \) all real numbers \( -1 \leq y \leq 1 \) all real numbers \( -\frac{1}{5} \leq y \leq \frac{1}{5} \)

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 \( y=1 \).

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 \( \lim _{x \rightarrow \infty} f(x)=2 \)

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

\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}