why the function is continuous at every number in its domain. State the domain.

Q: Use interval notation to indicate where f(x)=x-7/(x-5)(x+5) is continuous.   "f" is continuous on…

A:

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

A: Given: fx=x2-9  , x<35 ,           x=39-x2,    x>3

Q: What does it mean for a function to be continuous on an interval?

A: A function is said to be continuous on the interval when the function is defined on every point of…

Q: Make it to where each function is continuous at all points, include the domains for each function…

A: our objective is to find the continuity

Q: On which the interval the function is increasing?

A: Given,          The graph of the function is shown below :

Q: Explain why the function g(x) = ln(4-x2) + square root of x+1 is continuous at every number in its…

A: Consider the given function g(x). The function g(x) is the sum of two functions f(x) and h(x).First…

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: On which interval is the function ) = -- increasing?

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Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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Q: ) On what interval is f increasing?

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Q: nuous

A: The function f is continuous at some point c of its domain if the limit of f(x), as x approaches c…

Q: Identify all intervals over which the function is increasing.

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Determine the intervals on which the function is continuous. %3!

A: To find: The interval in which the function fx=12-x is continuous. Concept used: The domain of the…

Q: Sketch the graph of a functionf that is continuous except for a removable discontinuity at 2.

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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: Describe the intervals on which the function is continuous.

A:

Q: Find all the numbers for which the function is discontinuous.

A: A function is discontinuous at a point if the functional value is not defined at that point. There…

Q: Which of the following functions are continuous? Why do you think they are continuous?

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Q: Which is the largest interval over which the function shown in the table is increasing?

A: The given function is: To find the largest interval on which the given function is increasing,…

Q: Determine whether  the following statement is true or false, and explain why. If ƒ″(x) > 0 on an…

A: If the second derivative of a function f(x) is defined on an interval (a,b) and f ''(x) > 0 on…

Q: Find all intervals where the function f(x) = x+ x- x is increasing.

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Q: When is a function of two (three) independent variables continuous at a point in its domain? Give…

A: When is a function of two (three) independent variables continuousat a point in its domain? Give…

Q: Use the graph of the function to estimate the interval on which the function is decreasing.

A: A function is said to be increasing when the y value increases as the x value increases.

Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: Suppose that (picture) If f is  continuous for all real numbers, then c is equal to:

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Q: When is a function of two (three) independent variables continu-ous at a point in its domain? Give…

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Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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Q: When can we say that a function is continuous at a number?

A: To explain: The continuity of a function at a point.

Q: Give an example of a function with both a removable and a non-removable discontinuity

A: Example of a function with both removable and non - removable discontinuity

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine whether the function shown is continuous over the interval (-5, 5). Yes

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Q: f(x) = х-16 at (5,8) Vx-4

A: We have given function fx=x-16x-4 and point 5,8.

Q: Find all intervals where f is increasing.

A: Given,           f(x) =-x6x + 273

Q: The domain of f' is 1 (Type your answer in interval notation.)

A:

Q: Explain, using the theorems, why the function is continuous at every number in its domain. 2x² - x –…

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Q: What does it mean for a function to be continuous on an interval?Give examples to illustrate the…

A: For open intervalIf f:(a, b)→ℝ is defined on an open interval, then f is continuous on (a, b) if and…

Q: Construct a function that is undefined at points 2,3 and T.

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: The given function is f(x) =xx2 + x + 2. The main objective is to find the interval in which fx is…

Q: please solve it and show yor work

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Q: Determine whether the function shown is continuous over the interval (-5, 5).

A: We will determine whether the function is continuous over the interval (-5, 5) as following.

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: sketch the graph of a function that is continuous everywhere except at x=3, and is continuous from…

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Q: DISCUSS THE CONTINUITY OF THE FUNCTION ON THE CLOSED INTERVAL

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Q: State the intervals on which the function f is continuous

A: A function is said to be in an interval if it's graph runs continuously without any break it that…

Q: Not every differentiable function is continuous

A: If a function is said to be differentiable at its domain then it must be continuous in its domain.…

Q: Adding two functions that are continuous everywhere yields a function that is continuous everywhere.…

A: given,         Adding two functions that are continuous everywhere yields a function that is…

Q: Determine

A:

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.