1. Each apple tree yields y apples when there are x trees in an orchard, where y = 300 - 6x. a) find R(x), the total yield generated when there are x apple trees in the orchard b) Find the relative extremum of R, and interpret this result. 2. Let f(x)=In(x?+16). Find the following a) domain b) x-and y-intercept(s) c) Give the coordinates of any critical points and classify them as relative minimum, relative maximum or neither. d) Identify intervals where the function is increasing or decreasing. e) Give the coordinates of any points of inflection. f) Identify intervals where the function is concave up or concave down. g) Sketch the graph. Make sure to scale your axes. You may need some extra points. 3. Find the slant asymptote of f(x)=2x*+*-1/x-3 4. Let f(x)=1/1+e*. Find the following. a) domain b) x-and y-intercept(s) c) Indicate any asymptotes. d) Give the coordinates of any relative extrema. e) Identify intervals where the function is increasing or decreasing. f) Give the coordinates of any points of inflection. g). Identify intervals where the function is concave up or concave down. h) Sketch the graph. Make sure to scale your axes. You may need some extra points