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7. Suppose that f(r) is not given but its derivatives f'(x) and are given as follows: 2 1st derivative: f' (x) 2nd derivative: f
7. Suppose that f(r) is not given but its derivatives f'(x) and are given as follows: 2 1st derivative: f' (x) 2nd derivative: f" (x) [2] f(x) is defined everywhere except at = 5 where there is a vertical asymptote. (a) Determine the intervals of increase and decrease for f(x). (b) Determine the intervals of concave up and concave down for f(x). (c) It is known that there is one vertical asymptote at x = 5, no horizontal asymptotes, one x-intercept at x = 7 and a y-intercept at y = 10. Using this information and parts (a) and (b), make a sketch of f(x). Label all intercepts, asymptotes, relative maximin, and inflection points.
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