A farmer finds that if she plants 40 trees per acre, each tree will yield 55 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? trees Give your answer rounded to the nearest whole number.

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

Use transformations to graph the following function. Determine the domain, ra horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) 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 \( f(x)=3^{x}+4 \). Selec the correct choice below and, if necessary, fill in the answer box \( ( \) es) to complete your choice. and the bottom asymptote is (Type equations.) B. The function has one horizontal asymptote, \( y=4 \). (Type an equation.) C. The function has no horizontal asymptotes. The \( y \)-intercept of the function is (Type an integer or a simplified fraction.)

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

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=4^{x}+3 \) Use the graphing tool to graph the function. What is the domain of \( f(x)=4^{x}+3 \) ? (For any answer boxes shown with the grapher, type an exact answer.) (Type your answer in interval notation.)

Ejercicio 1 \( f(x)=\sqrt{\left(3 x^{2}-x\right)} \)