Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. 2x +11x+5 f(x)= a= -3 x² +3x

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: Part C: Check the continuity of the following function at x- 1 (1+x f(x) -x 2-x if x<-1 if-1sx<1 if…

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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: 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: 4x f (x)=- x2 +4 %3D

A: f(x)=-4xx2+4

Q: Determine if the following function is continuous at x = 4. Show all steps by definition of…

A: This question is based on Continuity of function.

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

A:

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

A: We have to check

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…

A:

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: 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: Determine whether the following functions are continuous at a. Use the continuity checklist to…

A: Given, f(x)=x2-4x+3x-3   ifx≠32                  ifx=3;a=3 find the continuity of function at x=3 if…

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: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: Determine whether the following functions are continuous at a. Use the continuity checklist to…

A: Given: fx=2x2+3x+1x2+5x,a=-5

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

A:

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: Determine whether the following function is continuous at the given point ar = 3x? + 17x – 6 f(x) =…

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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: Determine whether the following functions are continuous at x = 2: x 2 7x + 3 f(x) = 3x + 7

A: Determine whether the following functions are continuous at x=2

Q: Determine using the given graph if the function f is continuous on the following intervals. 1. a.…

A: A real valued function f(x) is defined in an interval,say [a,b] and its graph is available to…

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

A: Given: fx=x2-4x-2  if x≠25   if x=2 To Find:  To check whether the given function is continuous at…

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: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

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.

A:

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: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…

Q: Define h as x 2 Determine whether the function h is continuous h(x) = {3, x2 or discontinuous at x…

A: NOTE: Refresh your page if you can't see any equations. . if the function h(x) is continuous at x=2…

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

A:

Q: Decide if the following function is continuous using limits. x1. 2х g(x)= 3

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: Is the following function continuous at a = 1? Explain why. x2 +4x 21 - f(x) = ifx # 3 X - 3 6. ifx…

A: Consider the function  fx=x2+4x−21x−3              x≠36                                 x=3

Q: a. f(x) x-2 x-7 b.f(x) = r2+1

A: (a) the given function is f(x)=1x-2 the function is continuous in interval [a,b] if it is continuous…

Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x? – 4x + 2 at x = 2 2.…

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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: 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: Determine whether the following function is continuous at the given point z = 3x2 + 17z - 6 f(x) =…

A: A function f(x) is said continous at x = a  only when

Q: For what value of a is the following function continuous at every x? x²-165, x<15 f(x) = %3D 2ах, X2…

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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 x21

A: Check for left hand limit and right hand limit and check whether they are equal or not.

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:…

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.