Intermediate Value Theorem Application
Let f be a continuous function on the closed interval [1, 5] such that f(1) = 2 and f(5) = -3. If p(x) = f(x) - x, which of the following statements must be true?
A
p(x) is always negative on [1, 5]
B
p(x) = 0 for at least one x in [1, 5]
C
p(x) has exactly two zeros in [1, 5]
D
p(x) is strictly decreasing on [1, 5]
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