Find the critical numbers of the function.

Question

g(t) = |2t − 3|

Answer 1

Critical number of this function t = 1.5 because at this point graph has sharp corner(derivative f'(t) DNE)

Answer 2

The graph of g(t) = l 2t -3 l is "V-Shaped" with the point of the V occurring when 2t - 3 = 0. At that point, the derivative is undefined. Elsewhere, the derivative exists and is nonzero. So, the only critical number is t = 3/2.