Taller: Grado: 8 Teniendo presente las funciones exponenciales, grafica las siguientes tunciones: - \( y(x)=2^{x} \) - \( f(x)=\left(\frac{1}{2}\right)^{x} \)

Graph all asymptotes of the rational function. \[ f(x)=\frac{x^{2}-x+8}{x-3} \]

QUESTION \( 8 \quad \) (FUNCTIONS) Draw the graph of given functions on the diagram sheet. \( 8.1 \quad f(x)=x^{2}+3 \) \( 8.2 \quad f(x)=\frac{-x^{2}}{2}+2 \)

Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) Which transformation is needed to graph the function \( f(x)=3^{x}+4 \) ? Choose the correct answer below. B. The graph of \( y=3^{x} \) should be shifted vertically up by 4 units. \( y=3^{x} \) should be shifted horizontally right by 4 units. D. The graph of \( y=3^{x} \) should be shifted horizontally left by 4 units. Use the graphing tool to graph the function. Dhould be shifted vertically down by 4 units. (For any answer boxes shown with the grapher, type an exact answer.) The domain of \( f(x) \) is \( \square \). (Type your answer in interval notation.)

Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) Use the graphing tool to graph the function. The domain of \( f(x) \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) The range of \( f(x) \) is \( (4, \infty) \). (Type your answer in interval notation.) Determine the horizontal asymptote(s), if any, of the function \( f(x)=3^{x}+4 \). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has two horizontal asymptotes. The top asymptote is and the bottom asymptote is (Type equations.) B. The function has one horizontal asymptote, (Type an equation.)

Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) A. The graph of \( y=3^{x} \) should be shifted vertically up by 4 units. B. The graph of \( y=3^{x} \) should be shifted horizontally right by 4 units. C. The graph of \( y=3^{x} \) should be shifted horizontally left by 4 units. D. The graph of \( y=3^{x} \) should be shifted vertically down by 4 units. B.