Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below (c) Find any asymptotes of the graph of \( f \). Select the co

Question 7 (1 point) 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 \( y=1 \).

Find Domain of the following: \( h(x)=\frac{x}{\ln x} \) A) \( R \) B) \( R-\{0\} \) C) \( ] 0, \infty[ \) D) \( ] 0,1[U] 1, \infty[ \)

State the equation of \( f(x) \) if the vertical asymptote is \( x=3 \), the horizontal asymptote is \( y=1 \), the \( x \)-intercept is \( (0,0) \) and the \( y \)-intercept is \( (0,0) \).

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

A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time \( t=0 \) seconds. When the weight it released, it oscillates and returns to its original position at \( t=3 \) seconds. Which of the following equations models the distance, \( d \), of the weight from its equilibrium after \( t \) seconds? \( d=-9 \cos \left(\frac{\pi}{3} t\right) \) \( d=-9 \cos \left(\frac{2 \pi}{3} t\right) \) \( d=-3 \cos \left(\frac{\pi}{9} t\right) \) \( d=-3 \cos \left(\frac{2 \pi}{9} t\right) \)