Choose the appropriate option for each dropdown. For the function f(x) = -2x³ + 15x² - 36x + 205

f(x) is [ Select ] ["increasing over the entire interval", "neither increasing over the entire interval nor decreasing over the entire interval", "(none of the other options is correct)", "decreasing over the entire interval"] on the interval (1,2).

f(x) is [ Select ] ["(none of the other options is correct)", "increasing over the entire interval", "decreasing over the entire interval", "neither increasing over the entire interval nor decreasing over the entire interval"] on the interval (2,5).