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 (-∞0, 2) and (5, 7)and f' (x)is negative on the intervals (2, 3) and (3, 5). Which of the following is true? f has a relative minima at x = 2. Of has a relative maxima at c = 5. Of has a point of inflection with horizontal tangent at = 3. None of the other choices.
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 (-∞0, 2) and (5, 7)and f' (x)is negative on the intervals (2, 3) and (3, 5). Which of the following is true? f has a relative minima at x = 2. Of has a relative maxima at c = 5. Of has a point of inflection with horizontal tangent at = 3. None of the other choices.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text: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 (-∞0, 2) and (5, 7)and f'(x) is negative on the
intervals (2, 3) and (3,5). Which of the following is true?
Of has a relative minima at x = 2.
Of has a relative maxima at c = 5.
Of has a point of inflection with horizontal tangent at x = 3.
O None of the other choices.
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