Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. f(x) = /x- 4; a = 1

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.

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A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

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Q: For what value of a is the following function continuous at every x?

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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…

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Q: Determine if the following function is continuous at x = 4. Show all steps by 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: Decide if the following function is continuous using limits. 2x,x0

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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…

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

A: Given :           f(x) =  1 - x      if x < 1             0           if x = 1            x2 - 1…

Q: determine at which points, the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q is continuous.

A: Given To evaluate the points where the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q    is…

Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

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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: In The given question, , determine whether the statement is true or false. If it is false, explain…

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: fx=4x-6 The given function is not defined at x=6. It has a vertical asymptote at x=6. Therefore,…

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: { -2x + 3 x 1

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

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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 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: Determine whether the following function is continuous at a. f(x) = /x- 7; a = 1

A: Topic :- Continuity

Q: ii) f(x) = x*-1 %3D x²-1

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Q: Use the limit definition for the derivative to calculate f'(x) for each of the following if f'(x)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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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: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information.

Q: 2. h(x) = 플ox=1 x+1

A: Given a function : h(x)=x+1x2-1 We need to show if it is continuous at x=1 or not. Let's begin.

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

A: Given function is

Q: 1. (x) = 3x + 2x +1 at x = -2

A: f(x)=3x2+2x+1

Q: Decide if the following function is continuous using limits. x1.

A: Given,          gx=2xx<13x=13x2+3x>1

Q: a, determine if the discontinuity is removable or essential. 1+ x, x 2 1. H(x) = }2 – x,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the e – 8 definition of continuity to prove that each of the following functions is continuous…

A: use the ε-δ definition of continuity to prove that each of the following functions is continuous on…

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

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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: sketch the given function and determine whether it is piecewise continuous on[0,∞).

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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: Determine the discontinuities of the following functions and state why the function fails to be…

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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: 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: Consider the following figure. y f(x) whether the function is continuous or discontinuous at that…

A: Given query is to check the characteristics of function for x = -2.