Consider the function below. (Give your answers correct to 2 decimal places.)
h(x) = 12x^2 + 3
a) Identify the open interval on which the function is increasing. If you need to enter co or -co, type INFINITY or -INFINITY. The interval is (-INFINITY, INFINITY).
b) Identify the open interval on which the function is decreasing. If you need to enter co or -co, type INFINITY or -INFINITY. The interval is (-INFINITY, INFINITY).
c) Find the critical numbers of f (if any). If there are no critical numbers, enter NONE. The critical number is 0.
d) Apply the First Derivative Test to identify the relative extremum.