1. Let f (0, ∞)→ R be the function with f(x) = |1 ln x]. Sketch the graph of y = f(x). Give a brief justification (one sentence each) why f is not injective and why f is not surjective. Come up with a subset A of R of your choice such that the function g: A → R with g(x) = 1 In x is injective. No justification needed. Come up with a subset B of R of your choice such that the function h: (0, ∞) → B with h(x) = 1- ln x is surjective. No justification needed.

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A: Consider the function Then and The graph of the function is shown below,

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A: We need to find the inverse function of the real valued function f(x)=2x+9

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A: Solve by finding minima and maxima

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A: Answer

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A: the left riemann sum with n=4L(P,f)=∑i=14Mi∆xiMi=value of function at left ordinate of each interval…

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Q: For each one, classify it as Injective but not surjective, Surjective but not injective, Neither…

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A: The given function is

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Q: d. For each of the following, state whether the functions f: R → R, x → f(x) are injective,…

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A:

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Q: 4. Show that the function f: R → R defined by f(x) = x² - 3x + 1 is not one-to-one.

A:

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Q: Find f •g and gof ,where f (x) = x² + 1 and g(x) = x + 2, are functions from R to R.

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Q: Let P(x0, y0) be an arbitrary point on the graph of f that f′(x0) ≠ 0, as shown in the figure.…

A: