State the definition of continuity and then define P so that the function f is continuous at x =-2, where %3D f (x) = { 5(22-4) x+2 for x + -2 %3D for x = -2

Q: f(x) : ²+4x-5 a+5 c = - 5

A: The objective of the question is checking the continuity of the given function at given point.

Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x2 + 6)/(x - 5) a…

A: A function f(x) is said to be continuous at a point x = a, if 1) f(a) exists. 2) limx→af(x)exists.…

Q: Use the definition of continuity to determine whether f is continuous at a. f(x) = 3x2 - 2x + 1 a =…

A: Given, fx=3x2-2x+1 To determine whether the function f(x) is continuous at x=4

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Q: 3. Use the definition of continuity and the properties of limits to show that the function is…

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x-x3…

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Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x2 + 4)/(x - 2) a…

A: Given the function f(x)=(x2 + 4)/(x - 2) We need to use the definition of continuity to determine…

Q: Test the continuity of the following functions at the indicated points of each x+ 1, 3x - 1, 1 < x <…

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Q: Check the continuity of the following function at x = 1 (1+x f(x) = {x? 2-x if x <-1 if -1sx<1 if x…

A: A function f(x) is continuous at a point x=a if f(a) is well defined and the left hand side and…

Q: 3. J Use the definition of continuity and the properties of limits to show that the function is…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: -x ifx1 function f. Where is f discontinuous? Justify your answer using the definition of…

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Q: Use the definition of continuity to determine whether the shown is continuous at a = 2.

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Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x + 7)/(x - 7) a…

A: Given, f(x)= x+7x-7 and point a= 7 To determine: f is continuous at a Definition of continuity :  A…

Q: Use the definition of continuity and the properties oflimits to show that the function is continuous…

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Q: Check the continuity of the following function at x = 1 (1+x f(x) = {x? 2-x if x<-1 if -1sx<1 if x…

A: A function is continuous at  x = a if the following condition is satisfied

Q: Use the definition of continuity to decide if the following function is continuous at a = -1. -1.0x²…

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Q: Given the function, g(x) 3 x 2 a. Determine the possible points of discontinuity. b. Discuss the…

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Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x - 5)/(x + 5) a…

A: If the function is continuous at x=a then it must satisfy the conditions of continuity.  The value…

Q: Use the definition of continuity to determine whether f is continuous at a.

A: To check: Whether the function is continuous or not. Given: The function is fx=x2-9x+3 and a=-3.…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given function is, f(x)=(x+2x3)4, a=-1

Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x2 + 5x)/(x2 -…

A: The function is said to be continuous at the point at x=a it must be hold the following three…

Q: f(x) = x² + /7 – x, a = 4

A: A function is said to be continuous on the interval [a, b] if it is continuous at each point in that…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: We have to use the definition of continuity and the properties of limits to show that the function…

Q: Use the definition of continuity to determine whether f is continuous at a.

A: f(0)=0-5=-5. limx→0- f(x)=limx→0- x-5=0-5=-5 limx→0+ f(x)=limx→0+ x2+x-5=02+0-5=-5

Q: Use the definition of continuity and the properties of limits to show that e function is continuous…

A: Consider the provided function and the point, fx=x2+7-x, a=4 Proved that the provided function is…

Q: Let f(x) | x? + 4x – 5 if x > – 6 - If f(x) is a function which is continuous everywhere, then we…

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Q: Use the definition to determine whether the following function is continuous and differentiable at x…

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Q: Use the definition of continuity to determine whether f is continuous at a.

A: To determine if a function is continous, it follows 3 conditions. The first condition is when the…

Q: Use the definition of continuity to determine whether the shown function is continuous at a = 0.

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Q: Determine the continuity of the function at the given points. f(x) = [1, x-2, for x=1 at x = 1 and x…

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Q: Find numbers a and b, or k, so that f is continuous at every point. 54) -2, ={ ax + b, -5 s x s -3…

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Q: (c) Consider the following graph of a function y = f(x): -2 -1 3 Test the continuity of f(x) at x =…

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Q: Use the definition of continuity to show that f is continuous at 2: f(x) = 3x2 – 2x + 1.

A: Definition of function continuity is: A function fx is said to be continuous at point x0 if and only…

Q: | Find the values of a and b such that the following function [a(x − 1)² + b²x+2, if x 3, ious at x…

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Q: Determine the interval(s) on which the following function is continuous. At which finite endpoints…

A: Given function is

Q: Test the continuity of the following functions at the indicated points of each (x+1, (1) f(x) = {3x…

A: f is continuous at x = 1  f is not continuous at x = 2 &amp;, f is continuous at x = 3/2   The…

Q: Discuss the continuity of the following function: (2* (1– x), x 0 x = 0

A: Consider the given:

Q: x' - 27 x² -9 (c) at x = 3 and x = -3

A: First of all to find critical points put the denominator equal to zero. x2 - 9 = 0 x 2 = 9 x = 3, -3…

Q: b) Discuss the continuity conditions of the function- f(x) which shown in figure at x= 0,x = 1,x= 2…

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Q: Determine whether the statement is true or false. If f is continuous at 5 and f(5) 5 and f(4) = 3,…

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Q: 3. Use the definition of continuity and the properties of limits to show that the function is…

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the…

Q: Graph the function

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Q: Test the continuity of the following function at x = 1 (2 — х, х 1 2

A: Given data: The expression for the given function is f(x)=2-x, x&lt;11,        x=13x2,    x&gt;1…

Q: Find the values of a and b that make f continuous everywhere. x² - 4 X - 2 ax? - bx + 3 2х — а + b…

A: The given function f(x) is continuous everywhere, thus the function is continuous at x = 2 and x =…

Q: (b). Analyze general properties of continuity and discuss the continuity of the following. (1). f(x)…

A: Discuss the continuity of the functions.       i) fx=x2-93        iii) fx=xx+1x-2

Q: Determine the continuity and, if discontinous, the type of discontinuity for the function…

A: Given query is to find function is continuous or not at x = -1.

Q: (b) f(x) — (х + 2x*)", а %3 —1

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Q: Determine whether or not f(x) is continuous and/or differentiable at the given value of x = 3. If…

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