(4 if x1 = x2 l0 if x1 # X2 The function f (x) = is defined on the set X = [0,2] x (0,2]. (1) Is the set X closed? (2) Is the set X bounded? (3) Is the set X convex? (4) Is the function ff continuous?

Q: The absolute maximum of the function f(x) = 2x2 + 3r + 14 over [1, 8]. O 94 O 109 O 179 O 166 O 29

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Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

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Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown…

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Q: Let g be the function from S = {0,1,2,3,4} to the whole numbers W given by the formula g(x) = 6 - 2x…

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Q: The function f(x)=-(x+3)+2 opens up. O True O False

A: Let's find.

Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Two functions f, g are defined as follows: Find a) ƒ-¹(2) b) (gof)(-4) f(x) = 3x + 5 g(x) = 2(1-x)

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Q: Which of the following values of x would not be in the domain of the function defined by f(x)=*-?…

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Q: Which of the following relations does not represent a function? {(1, 2), (2, 2), (3, 2)} В. ((1, 1),…

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Q: Consider the piecewise function if x 2 .2 x-4

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Q: For a function f(x) that is one-to-one, if f(6) = 12 , then what is f-(12) = ? 1 - 1 6 12 1 12

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Q: Example. For which values a and b is the following function continuous every where x² - a if x 2.

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Q: Define a function f: Z→ Zx Z by f(x) = (2x + 5, x - 4). (a) Is fone-to-one? Prove or disprove. The…

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Q: Find the Intervals of Concavity and Inflection X- 1 Points of the function f(x) = .

A: Given the function  f(x) = x-1x2             f'(x) = (1-0) x2 - (x-1) 2xx22f'(x) = x2 - 2x2…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.