Question

select the following items which should be used to split the domain in order to determine intervals of increase and decrease for a rational function. turning point(s) hole(s) x - intercept(s) vertical asymptote(s) y - intercept

Explanation:

To find intervals of increase and decrease of a rational function, we consider points where the function's behavior changes. Turning points are where the function changes from increasing to decreasing or vice - versa. Vertical asymptotes are values of x where the function is undefined and can cause a change in the increasing or decreasing behavior. Holes do not affect the overall increasing or decreasing nature over intervals as they are just removable discontinuities. x - intercepts and y - intercepts do not directly determine intervals of increase and decrease.

Answer:

turning point(s), vertical asymptote(s)