Tutorial Exercise Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. x- 8x +37 y = X-6 Step 1 Begin by finding the intercepts. (If an answer does not exist, enter DNE.) To find the y-intercept, substitute x = 0 and solve for y. The y-intercept is (x, y) = (0, -37 6 37 0. ). 6 To find the x-intercept, substitute y = 0 and solve for x. The x-intercept is Step 2 (x, y) = (DNE DNE Next, differentiate the given function y = x- 8x +37 and write as a single fraction completely factored. X-6 y' = = (2x 8)(x-6) x- 8x +37 (x-6) (x 1)(x-11) (x-6) (x-6)