1. Write the following sets as an interval or union of interval. In each case \( x \in \Re \). a) \( A=\{x: x \neq 0 \wedge x \neq 8\} \) b) \( B=\left\{x: x^{2}\left(x^{2}-1\right) \neq 0\right\} \) c) \( B=\left\{x: x^{2}=2 \Leftrightarrow x \geq-1\right\} \) d) \( C=\left\{x:\left(x^{3}-2 x\right) \neq 0\right\} \) e) \( C=\{x:(x-2)(x+3)=0 \Rightarrow x \geq 0\} \)

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

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 \( y=1 \).

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 \( y=1 \).