Which of the following functions are continuous? Why do you think they are continuous? hix fix

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x² + 2x + 1…

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

Q: Is the function f graphed below is continuous at = -4? Choose the appropriate reason that justifies…

A: topic - continuity and limits f is not continuous at x =-4 reason = left hand limit is not equal to…

Q: (9 pts.) Determine if the following function is continuous at x=-2. If not find the type of the…

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

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

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

Q: 4 x if x 2 3 = x - 2 if 0 < x < 3 x-1 if x <0 %3D

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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: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

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Q: Determine the domain of the function and prove that it is continuous on its domain using the Laws…

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Q: Is the given statement true or false? Justify your answer. 'If the function f is continuous at a,…

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Q: Determine whether the following function is continuous at the given point 1 = 2x+11x f(z) = 2x 13

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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

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Q: Is the following function continuous? [x² + y² _if x² + y² ! f (x, y) =

A: The left-side limit, the right-side limit, and the value of the function at that point can be…

Q: At which of the following values is the function g(x) = *+5 not continuous? x2+x

A: Here ,given function g(x)=x+3x2+xAnd  above polynomial is rational polynomial .A rational polynomial…

Q: For what value of c is the function defined below continuous on (-∞, )? сх + 4, x 4. x > 4. f(x) = C…

A: f(x) = cx+4    ,  x&lt;4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: . Show wheth er the following function is continuous at x = 0.

A: Givenf(x)=4x-9 if x&gt;-33x+6 if x≤-3

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

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Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

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

A: Given: find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: The graph of a function is said to be continuous in an interval if there is no break in ite graph at…

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…

A: we have to tell whether the given statement is true or false. Statement : If a function is…

Q: Consider the function g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even. Is g continuous…

A: Given function is g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even.

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find | () dr.

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Q: Which of the following are necessary for the function f(x) to be continuous at x=a? Select all of…

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Q: Indicate whether the following statement is true or false. The function f (x) = |x| is continuous at…

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

A: f(x)=x+2x2-3x-10 Finding the x value at which function is not continuous .  And which of the…

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 z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

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: For what value of k is the following a continuous function?

A: Function is continuous if   limx→2-f(x)=limx→2+f(x)=limx→2f(x)

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

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

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

A: A function is continuous in a given interval, if the graph of function makes a continuous or smooth…

Q: Which of the following is a function that has a jump discontinuity at x = 2 and a removable…

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Q: О 1,3] O [-3, -1] О (1,3] O [-3, -1)

A: open circle at a point  signifies that the point is not a part of the solution set  closed circle at…

Q: Let f be a function that is continuous on the closed interval [1, 5] with f ( 1) = 10 and f (5) =…

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Q: The graph of the function f'(x) of a continuous function f is shown. On what intervals is f concave…

A: It is given that,the graph of the function f'(x) of a continuous function f.  We have to find…

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

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Q: Compute the value of a to make sure the following function is continuous. (ах + 1 x 3

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Q: Find a value for the constant k, if possible, that kæ? if x 2 Is the function f(x) = 1 continuous…

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Q: 3. Which of the following functions is continuous?

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

A: The function given is  fx=5-x. The greatest integer function x is discontinuous at the integer…

Q: Which of the following does not represent a function that is continuous everywhere?

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

A: Given f(x)=2x-3x-3

Q: On what domain is the function f(x) = 5+ V2x + 6 continuous? %3D

A: Let's find.

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.