Sketch the graph of a function having the following properties: 1) The domain is all real numbers except x = 1. 2) It has an x-intercept at (−1, 0) and no others. It has a y-intercept of y = 1. 3) On the right, it has y = 1 as a horizontal asymptotes. On the left, it has y = −1 as a horizontal asymptotes. 4) It has a vertical asymptote at x = 1 and no others. 5) It is increasing on (−∞, 1) and decreasing on (1,∞). 6) It is always concave up.

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Q: Sketch fully by finding all the necessary information given f(x), f'(x) and f"(x) 16-8х 8х-32 f'(x)…

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A: We can answer both the question as below for the required answers.

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Q: 1. Determine all asymptotes of the function: x3-1 f (x) = (2х-1)3

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Q: 4. Sketch the graph of f(x) = and give its domain, intercepts, and %3D +2x-3 asymptotes.

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Q: (d) Describe the behavior of the function f (2) around its vertical asymptote at z = -7. f (x) as x…

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Q: Example 11 Determine all horizontal asymptote for the function 1-x f (x )= x² +x -2

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Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

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Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x&lt;1x-1           x≥1

Q: 4. What is the Horizontal Asymptote of the FUNction 1 -8 (x + 6)

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Q: y = + x2 (х — 2)2

A: Given

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Q: The graph of f(x) = sec x has vertical asymptotes %3D Select one: a. True b. False

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