select the following items which should be used to split the domain in order to determine intervals of…

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

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

Answer

Brief Explanations:

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)