is a continuous function. Prove that f has a fixed point. (Hint: Consider Let a and b be real numbers with a

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Q: Let A = {1, 3, 4, 9, 10, 11} and B = {1, 4, 5, 6, 7, 10}. Consider the following function f: A B…

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Q: Let f be the function defined as follows. x³ 2x+3, x<1 3ax²+x, x≥ 1 f (x) = Is f continuous at x=…

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

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Q: [a, b If A, = |d, e, fil [az bz c Az = |d2 ez fal [az b, cs] Az = [d3 es fsl and are any 2 x 3…

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Q: Let C be the contour (blue) given in the figure below and let f(z) be any function with If (z)| <…

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Q: 2. Functions f and g are defined as follows: f:R -R f(x) = x2 – 3x –1 Perform these expressions…

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Q: 6 Whether y dhefines shesines has y as a function of x. no xintercept to

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Q: Let f be the piecewise-defined function [a²x² + 112 if x > 2 a + 124 if = 2 2a²x² f(x) = if x < 2…

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A: Injective ( one to one): If x1 not equal to x2 then fx1 not equal to fx2. If x1 = x2 then fx1 = fx2.…

Q: Let f: Df →R be defined by f(x) = r+1, and let g : D, R be defined by g(x) = x -1, where D; and D,…

A: As per the policy, we are solving only 3 subparts of this question. Please repost and specify which…

Q: 1. Let X, Y be nonempty sets. Let A, B c X. Let f:X → Y be a 1-1 function. Prove or give…

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Q: 4. If f is a function from A to B, and S and T two subsets ofA, show that: f(S UT) = f(S)uf(T)…

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Q: Suppose f: R → R is a function. True or false: The composite function f of is continuous if and only…

A: True. Statement: Composition of f and f is continuous if and only if f is continuous. First, assume…