Suppose h(t) is a twice-differentiable function with the known values: h 0 1…

Suppose h(t) is a twice-differentiable function with the known values: h 0 1 2 3 4 H(t) 1 -4 -2 -1 -4 H^1(t) -9 1 3 1 -8 Justifying your reasoning, answer the following: a) Determine where h(t) = 0 on the interval (0, 4). b) Determine where h'(t) = 0 on the interval (0, 4). c) Determine where h”(t) = 0 on the interval (0, 4). 2. Use limits to find and verify all asymptotes in the graph of (Radical 5+x^2)?3-x