Question: 1. (25 points) Consider the cubic function f(x)=ax3+bx2+cx+d where a=0. Show that f can have zero, one, or two critical numbers and give an example

1. (25 points) Consider the cubic function f(x)=ax3+bx2+cx+d where a=0. Show

1. (25 points) Consider the cubic function f(x)=ax3+bx2+cx+d where a=0. Show that f can have zero, one, or two critical numbers and give an example of each case. 2. (25 points) Use Rolle's Theorem to prove that if f(x)=0 for all x in an interval (a,b), then f is constant on (a,b)

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