Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical numbers of the function. If f'(x) is positive on the intervals (-∞, 2) and (5, 7)and f' (x)is negative on the intervals (2, 3) and (3, 5). Which of the following is true? O None of the other choices. Of has a point of inflection with horizontal tangent at x = 3. Of has a relative maxima at x = 5. Of has a relative minima at x = 2.
Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical numbers of the function. If f'(x) is positive on the intervals (-∞, 2) and (5, 7)and f' (x)is negative on the intervals (2, 3) and (3, 5). Which of the following is true? O None of the other choices. Of has a point of inflection with horizontal tangent at x = 3. Of has a relative maxima at x = 5. Of has a relative minima at x = 2.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![Question 5
Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical numbers of the
function. If f'(x) is positive on the intervals (-∞, 2) and (5, 7)and f'(x)is negative on the intervals
(2, 3)and (3, 5). Which of the following is true?
O None of the other choices.
Of has a point of inflection with horizontal tangent at x = 3.
Of has a relative maxima at x = 5.
Of has a relative minima at x = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1b69482-55a2-4e94-bb1f-95ff162e0a0f%2F80146141-1869-476e-9a8d-0c67fb6ec655%2Fgyk4eao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical numbers of the
function. If f'(x) is positive on the intervals (-∞, 2) and (5, 7)and f'(x)is negative on the intervals
(2, 3)and (3, 5). Which of the following is true?
O None of the other choices.
Of has a point of inflection with horizontal tangent at x = 3.
Of has a relative maxima at x = 5.
Of has a relative minima at x = 2.
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