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AssignmentMultiple Choice
Continuous Functions and Intermediate Value Theorem
Question 1 • AP Calculus AB - MA5186 A
The function f(x) is given by Does f(x) = –1 on the interval [–2, 4]? Explain.
Answer
A
Since f(x) is continuous on the interval [–2, 4], f(x) = –1 exists.B
The value f(–2) < –1 < f(4) on the interval [–2, 4], so f(x) = –1 exists.C
The intermediate value theorem cannot be used since f is not continuous on [–2, 4].D
The value –1 < f(–2) < f(4), so no conclusion can be drawn about f(x) = –1 on [–2, 4].