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could use some help with these, thanks! Weekly Conceptual Questions: A. f' (x) 0 for x > -4. From this information we can conclude: a)

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could use some help with these, thanks!

image text in transcribedimage text in transcribed
Weekly Conceptual Questions: A. f' (x) 0 for x > -4. From this information we can conclude: a) f(x) has a relative maximum at x = -4. b) f (x) has a relative minimum at x = -4. c) f (x) has an inflection point at x = -4. d) f (x) has an x - intercept at x = -4. e) None of the above are true. B. g'(x) 8. From this information we can conclude: a) g(x) has a relative maximum at x = 8. b) g(x) has a relative minimum at x = 8. c) g(x) has an x - intercept at x = 8. d) g (x) has a horizontal tangent line at x = 8. e) None of the above are true. C. Will the function y = = have both an absolute maximum and an absolute minimum value in the interval [-2,2] ? a) Yes, because every function has both an absolute minimum and an absolute maximum value on any closed interval. b) No, because this function is not continuous at x = 4. c) Yes, because this function is continuous on the interval [-2,2]. d) No, because this function has a vertical asymptote at x = 4. e) Not enough information has been given to answer the question.1. For f(x) = X" 2x determine: 10 3 a) interval(s) where f(x) is increasing b) interval(s) where f(x) is decreasing c) location of relative minima (if they exist) d) location of relative maxima (if they exist) e) interval(s) where f(x) is concave up () interval(s) where f(x) is concave down g) location of inflection point(s) (if they exist) h) location of absolute minimum and absolute maximum on the interval [1, 10] 2. For g(x) = _x +1 determine: X a) interval(s) where g(x) is increasing b) interval(s) where g(x) is decreasing c) location of relative minima d) location of relative maxima e) location of absolute minimum and absolute maximum on the interval [-3, -0.1]

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