If f(x) is continuous everywhere, then If(x)| is continuous everywhere. TRUE O FALSE

Q: Prove that f-1of ldom f iff f-1 is a function from ran f to dom f.

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Q: Define 1 if x 2 Determine the values of a and b such that f(x) is continuous for all x.

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Q: Which of the following statements must be true for a function that is concave up everywhere?

A: Which of the  following must be there for a function than is  concave up everywhere .

Q: EXercises X72 IsContinuous at x-22 4. -2X X-2

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Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Analyze the continuity of the following function f(x) = 4x + 10      0 ≤ x ≤ 15 at the point x=8

A: The answer is given below:

Q: Find the values of a and b that make f continuous everywhere. a = II f(x) = x² - 4 X-2 ax² 4x = a +…

A: Given function:- fx=x2-4x-2if x<2ax2-bx+3if 2≤x<34x-a+bif x≥3

Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

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Q: Justify that 12-21-3 if x + 3, f(x) = 4 I-3 if x = 3

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Q: Identify the real number at which it is not continuous of the given function

A: To find: The real number where the function is not continuous. Given: The function is fx=xx2-4x+4.…

Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: Suppose that: ={26 3 for x 7 for x 7 f(x) Determine f(7) if f is right-continuous at x 7. (Give your…

A: To determine the value of the function f(7).

Q: et f(x) = |x| where xeR. Discuss the continuity and differentiability of f(x) at x = 0

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Q: Let f(x) = logox and g(x)=₁*. For all x g(x).

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Q: (c) Show that if f is entire and |2020 + if(z)| 2020 for all z, then f is a constant function.

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Q: Find the values of a and b that make the following function continuous. 9x -C 9x if x 2 f(x) What…

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Q: 4x-8 i- -2 x +3a

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Q: show that any function f(x) defined on a symmetrically placed interval can be written as the sum of…

A: Here we have given one function, and we have to prove that the function f(x) can be written as the…

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: For what values of x are the following functions NOT continuous. 4x² – 17x + 15 (x) = Vx² – 25 b.…

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Q: Show that if f is symmetric with respect to x = a, then g(x) = f (x + a) is even.

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Q: In calculus was claimed  that increasing (or decreasing ) functions  defined on a single interval is…

A: Consider a one - to - one function in an fixed interval.  For the function f(x), in the interval 0…

Q: The function f(x) -1/(x* +6) is continuous for all values of x in R. False True What is the range of…

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Q: Study the continuity of the functions in the points mentioned

A: Step 1:a) not continuous as the function is not defined.Step 2:b) It is continuous and have value 1…