Consider the function \(f(x) = 5 x^3 + 4 x^2 + 7\). 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?
? \( \le k \le\) ?
f(0) = 7
f(1) = 16
7 ≤ k ≤ 16