f(x) = 3+x² 0> x — 0 < x < 2 а X (x + 1)² + b _x > 2

Q: If f is differentiable at a, then f is continuous at a.

A: If a function fx is differentiable at x=a then function must be continuous at x=a. But a function…

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Q: For what value of b is             continuous at every x?

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: ax +b, if15メ<2 Find the values of a and b so that the following function is continuous evergwhere- x…

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Q: Prove the following statement: Assume f is a continuous function on [a, b], k is any real number |…

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Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…

A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…

Q: Answer the following True or False. If f(x)dx 0 and f(x) is continuous, then a = b. O True O False

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Q: Describe the interval on which the function below is continuous. X +4 f (x) = Vx %3D 10 y. 4. 21 B.…

A: topic - functions and continuity

Q: Let f(x) = V5x² – 20. Find everywhere f is continuous. -

A: Given fx=5x2-20

Q: A function is said to be continuous where t = 7, can this same function be discontinuous anywhere…

A: Consider a function        f(t) = t + 8 ,     if t ≤ 7                  22 - t,     if 7 &lt; t ≤ 8…

Q: If ƒ is differentiable at a, must ƒ be continuous at a?

A: we know that for a given function if it is differentiable at given point then it must be continuous…

Q: If the statement is always true, explain why. If not, give a counterexample. If f is a function that…

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Q: Assume that f is continuous on the set of real numbers. Find a and b given that cb 3 f(a)da - [³…

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Q: All the following functions are continuous at zero except? Select one: A. 2x + 3r + 5 В. C. e D. Inr…

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Q: Suppose f is a continuous function with x = a in its domain. Part 2 of the Fundamental Theorem of…

A: Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: Eind the value of the constant c that makes the following function continuous on (-o, ∞). if y €…

A: By using conditions of continuous function.

Q: f(x) = {*- Įx² +px + 2,x # 3 3, x = 3

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Q: q17. Let f, g, h be continuous functions on an interval [a, b]. If f is orthogonal to g and to h,…

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Q: Let g:Y Z be continuous and injective. Let f: X→Y be a function. If gof is closed show that f is…

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Q: If f(x, y, z) = = identify the domain and range of f(x, y, z). Describe, in words, the set of points…

A: Given That : fx , y , z=xy-zx2+y2+z2-4 To Find : Domain and Range of the function and also describe…