exp. sketch \( y \neq \frac{x}{x^{2}-4}, x \neq 2, x \neq-2 \)

Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) 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.

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. C. The graph of \( y=3^{x} \) should be shifted horizontally right by 4 units. D. The graph of \( y=3^{x} \) should be shifted vertically down by 4 units.

An apple farm yields an average of 46 bushels of apples per tree when 26 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield?

Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote.

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