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c.F(x) is a complace of features that are continuous for all real numbers, so it is constant at eextremely number in its domajor.

You are watching: Explain, using the theorems, why the function is continuous at every number in its domain.


State the doprimary. (Get in your answer using interval notation.)

theoremscontinuousfunctiondomaininterval-notationaskedFeb 1, 2015in CALCULUSby anonymous
Please log in or register to add a comment. Please log in or register to answer this question. 1 Answer 0 votes

Step 1:

The feature

*
.

Since the degree of the numerator and also the denominator of the function is exact same, the function

*
is a imcorrect polynomial feature.

Domain:

The doprimary of a role is for all values of x, which renders the function mathematically correct.

Due to the fact that there shouldn"t be any zero in denominator.

The denominator expression

*
is constantly better than one.

*
,for all values of x.

So the doprimary of any type of polynomial attribute

*
.

Any polynomial attribute is consistent on its doprimary.

Hence the attribute

*
is constant at eextremely number on
*
.

*
is a rational feature, so it is continuous at eincredibly number in its domain.

Solution:

Option (b) is correct choice.

See more: What Does Not For Ophthalmic Use Mean, Definition Of Ophthalmic

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is a rational attribute, so it is constant at eexceptionally number in its doprimary.

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