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

Q: Describe the properties of continuous  function?

A:

Q: Analyze the function f (x) -x + 18 if x 10

A:

Q: Identify a use of the lower and upper limits.

A: The lower and upper limits of the data set will not be plotted in the box plot.

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: 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: what valu e shouled be assigneed to a to make the function fex)= %3D 2ax

A: For the function to be continuous, the necessary condition is LHL=RHL=f(3) Here,  LHL=limx→3-f(x)…

Q: There are 3 conditions that make a function continuous at a point.  Name the three conditions Give…

A: Definition: A function is said to be continuous at x = a provided all three of the following are…

Q: Determine the iterval oう which the function iS decrecsing 10.

A:

Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…

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.