Consider the function f(x)=5x3+4x2+7. For what values of k does the Intermediate Value Theorem tell us that there is a c in the interval [0,1] such that f(c) = k?
? ≤k≤ ?
f(0) = 7
f(1) = 16
7 ≤ k ≤ 16
+73 
