2. Consider the function f(x) = (x – 1)(x – 2)(x- 3). (a) What is the domain of f? Find horizontal and vertical asymptotes, local minima, local maxima, and inflection points of f. Identify the regions where the graph of f is concave upward or concave downward. Finally, sketch the graph into the coordinate system provided. (b) Check the validity of Rolle's theorem for the function f.

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A: According to the guidlines I am solving first question only. Also note that while posting second…

Q: 3. Find the absolute maximum and absolute minimum values of f on the given interval. a. f(x) = 12 +…

A: This question is related to maxima and minima of functions, We will solve it using differentiation.

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A: Since you have asked multiple questions in single request  so we  will be answering only first…

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Q: find the horizontal asymptotes of the function by computing the limits at infinity.

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A: Since you have posted multiple subparts we solved first three subparts for you  To get the solution…

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Q: 4. For f(x) = x/9 – x², find a). domain, f', b). the C.N., the local maximum & local minimum values…

A: We are authorized to solve only one question with 3 subparts, please repost remaining questions…

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A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

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Q: 1. Given f'(x) = –x² – 2x + 8, state on which intervals f (x) is increasing and decreasing. Identify…

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Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

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A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

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A: (a)

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Q: Given the function y = f(x) = x /x^2 +1 a. Find all horizontal and vertical asymptotes of y = f(x).…

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want…

Q: Find the absolute maximum and absolute minimum of f(x) on the given interval f(x) = -2x2 + 4x – 3,…

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Q: Can you help me step by step

A: To sketch the graph of below function and determine the absolute extreme values.

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