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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 1

Lesson 16: Working with the intermediate value theorem

Using the intermediate value theorem

Let g be a continuous function on the closed interval open bracket, minus, 1, comma, 4, close bracket, where g, left parenthesis, minus, 1, right parenthesis, equals, minus, 4 and g, left parenthesis, 4, right parenthesis, equals, 1.

Which of the following is guaranteed by the Intermediate Value Theorem?

(Choice A)
g, left parenthesis, c, right parenthesis, equals, minus, 3 for at least one c between minus, 4 and 1
(Choice B)
g, left parenthesis, c, right parenthesis, equals, 3 for at least one c between minus, 1 and 4
(Choice C)
g, left parenthesis, c, right parenthesis, equals, 3 for at least one c between minus, 4 and 1
(Choice D)
g, left parenthesis, c, right parenthesis, equals, minus, 3 for at least one c between minus, 1 and 4

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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 1

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