Determine if the given functions f(x) are continuous or not at the given value of x. Show your complete solution using the three conditions of continuity

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: f(x) = 9x² - 4 at x = 1

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Q: f(x) = V3x–1 c = 1

A: As we know that; If the function fx is continuous at x=c then, limx→c-fx=limx→c+fx=finite…

Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

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

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: If f is continuous and ∫31 f (x) dx = 8 , show that f takes on the value 4 at least once on the…

A: Given that f is continuous and ∫31 f (x) dx = 8. We have to prove that, f takes on the value 4 at…

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: Find numbers a and b, or k, so that f is continuous at every point. 5) f(x) = 10x + 8,if x < -1 kx…

A: If f is continuous , solimx→-1-fx=limx→-1+fx

Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

A: A function f(x) is continuous at x=c if the left hand limit, right hand limit and the value of the…

Q: Determine the whether the function is continuous at x=-2. Justify your answer 2x+7 if xS-2 using the…

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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: At what interval of x will the function continuous, f(x) = { 3x²-x-2 x-1 0, x= 1 ", x#1

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Q: Determine the values of x, if any, at which the function is discontinuous. At each number where f is…

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Q: Test continuity for the following function : x < 0 f(x) ={-x3 1 0 < x <1 1< x < 2 1 X = 2

A: A function f(x) is continuous at x=c, if the left-hand limit, right-hand limit, and the value of the…

Q: What are the requirements for continuity function?

A: For a function fx to be continuous at x=c if it satisfy the following conditions: a) Function should…

Q: Is the following statement correct? The continuity of the function f does not depend on the choice…

A: Continuity of function

Q: Determine if the given function is continuous on the given point and intervals.                -x2…

A: The given function is  fx=-x2+4 , x&lt;02x2-5x , 0≤x&lt;37-x  ,    x≥3 We have to check the…

Q: { -2x + 3 x 1

A: We have given a piecewise define a function fx which definition change at x=1. The functions…

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

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

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Q: 3. f(x) = v2x – 5 at x = 3 -

A: (3) Given function is fx=2x−5 We have check whether the function fx is continuous or not at x=3 For…

Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

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

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Q: Test continuity for the following function : x +- X < 0 f(x) = {-x3 -1 0 < x < 1 1< x <2 1 X = 2

A: To check weather the function is continuous at a point Find the right hand limit of the function…

Q: 2. For the given function, f, determine if the function is discontinuous at a given point. State…

A: Function is f(x)=xx a=0 We have to check whether the function is continuous or discontinuous at…

Q: B- If f(x) = is continuous at x = Find A? |Ax2 x2

A: The explanation of the answer as follows

Q: 1. f(x) 2. f(x) = 3. f(x) x² - 4x X 2x x²-9 x² x-2 ; C = 0 -4 ; C = ; C = 2

A: Since you have posted multipart questions i can do first three subparts as per our company…

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: Cx) = *-2r+2 a-1 c = 2

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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: Give the three conditions that must be satisfied by a function to be continuous at a point.

A: We have to write  the three conditions that must be satisfied by a function to be continuous at a…

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

A: Consider the given function as fx=x16-x2

Q: 3. Apply the three conditions of continuity to determine if the function f(x) = 2x²+5x+2 x²-x-12 is…

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Q: f(x) = X-5 if xŹ 2 at x = 2 2x if x< 2

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Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

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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: Analyze continuity of the function.

A: Before going to the continuity, we will be finding the domain of the given function. Note that the…

Q: Determine if the function is continuous on the given interval. - 1. f(x) = √x² – 25 ; [−6, −5] 2.…

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Q: Write the interval of continuity for the function below: sin(x)√81-x2 x²+x-6 f(x) -

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Q: For the function f(x)= (8+2x, if x5) A) use definition of continuity at a number (3- step test) B)…

A: Concept: These are the three requirements for continuity: 1). The equation for the function is x =…

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: f(x) = 3x - 5x² 1. c = 2

A: Given: fx=3x-5x2  ; c=2   The function will be continuous at x=c when, limx→c-fx=limx→c+fx=finite…

Q: 1. f(x) = x² + 2x + 1 at x = 2 2. f(x) = 2-4 x-2 at x = 2

A: Continuity.

Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

Q: Find the values of a and b such that the following p Function is continuous at points -2 and x-5…

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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.