Determine whether a function is continuous at a given number. If it is discontinuous, identify which condition is not satisfied. Provide solution

Q: f (x) = 2x² – x + 6

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Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x²…

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Q: x- f(x)= 3x +9

A: Given: f(x)=-x23x+9   To Determine: if the given function is continuous at every real number. If…

Q: 1 1

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Q: 9. 10. 10+ 12-10

A: Topic:- function

Q: Determine if the function is continuous at the specified point. If it is discontinuous, what type of…

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Q: Determine the intervals on which the following function is continuous. x - 7x+ 10 f(x) = %3! 2 x -4

A: f is discontinus a point  if limit is not exit at that point.

Q: Determine if the function is continuous at the given number c. If it is discontinuous at c, state…

A: f(x) = 6-x , c= 5 f(x) = (x2 + 2x)/(x2 + 5x+6) , c= 0 here for check contineuty  satisfy this…

Q: 2. State whether each function in question 1 is continuous or not. If not, state where it is…

A: Definition of the continuous function is, Right hand side limit and Left hand side limit should be…

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

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

Q: x2 – 1 f (x) ; x = 1 х — 1

A: We will solve the following

Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: case 1 when x is not equal to 4lim x tends to 4 f(x) =( x^2-16)/(x-4)now using formula a ^2 - b^2 =…

Q: S(x + 4)² -2 < x x < -2 f(x)

A: fx=x+42    -2≤xx2              x&lt;-2 Since the given function is a polynomial function for all…

Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x&lt;-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: For each given x-value, use the figure to determine whether the function is continuous or…

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Q: Determine whether a function is continuous at a given number. If it is discontinuous, identify which…

A: Given function f(x) = -2x +3  for x≤1   and f(x) = x2  for  x &gt; 1

Q: Describe the intervals on which the function is continuous.

A: Discuss the interval on which the function is continuous

Q: Determine whether a function is continuous at a given number. If it is discontinuous, identify which…

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

A: It is clear from the graph that  function y=g(x) is continuous in [-1,3) But at x=3, Therefore, g…

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: 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 a function is continuous at a given number. If it is discontinuous, identify which…

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Q: Identify the intervals that the following function is continuous: 0, if x< 2 ={-x² + 6x – 9 , if x 2…

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

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Q: Determine whether a function is continuous at a given number. If it is discontinuous, identify which…

A: Discontinuity of the First Kind: Function f(x) is said to have a discontinuity of the first kind…

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: 3. Find the value of k that makes each function continuous over the given interval.

A: If function are continuous then both the side are equal

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: Determine whether the function shown is continuous over the interval (-5, 5). No Yes

A: We have to determine the given graph is continuous or not in the interval (-5,5).

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: f (x) = 2x² – x + 6 -

A: The given function,   f(x)=2x2-x+6

Q: Determine if g(x) is continuous on the following interval. Show you complete solution clearly.

A: Given  g(x)=x2+1if x&lt;-12if x=-16-xif x&gt;-1

Q: Determine whether the function is continuous at the given points. x+30 if x26 6, 0 if x <6 f(x) = Is…

A: Solution

Q: V16-x2 f(x) = at (-3,-1) x+1

A: Given function is fx=16-x2x+1 The interval is -3,-1 We know that function is continuous in any…

Q: Determine whether a function is continuous at a given number. If it is discontinuous, identify which…

A: Given,

Q: Determine whether each of the given statements is true. Justify your response with an explanation or…

A: To Determine whether the given statement is True or False: If a function is not continuous at a…

Q: x+1 x-x-2

A:

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

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: Determine whether or not the function is continuous at the indicated point. If not, determine if it…

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Q: 2. f(x) = 1 x²-1

A: We have f(x) =1x2-1

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

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Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: We have given a function f(x).

Q: V16-x3 f(x) = at (-3,-1) x+1

A: Here given function  fx=16-x3x+1 Draw the graph of the given function as

Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: Let’s  verify for continuity at x=1As we know by definition of abs |x| function

Q: -x, x±1 f(x) = 0, x= 1

A:

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.