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Intermediate Value Theorem in Context
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Calculus I
CAL1.41 Intermediate Value Theorem in Context
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Define f on [-3, 4] by: • f(x) = x + 3 for x ≤ 0 • f(x) = (x − 0)² + 3 for x > 0 This definition makes f continuous on [-3, 4]. Which conclusion is guaranteed?
A
There exists c in (-3, 4) such that f(c) = 22.
B
f(x) never equals 2 on [-3, 4].
C
There are exactly two numbers c in (-3, 4) such that f(c) = 2.
D
There exists c in (-3, 4) such that f(c) = 2.
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