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c.F(x) is a complace of features that are consistent for all real numbers, so it is consistent at eincredibly number in its doprimary.

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


State the doprimary. (Go into your answer using interval notation.)

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

Step 1:

The function

*
.

Due to the fact that the degree of the numerator and also the denominator of the function is same, the feature

*
is a improper polynomial function.

Domain:

The domajor of a function is for all values of x, which provides the function mathematically correct.

Since tright here shouldn"t be any zero in denominator.

The denominator expression

*
is always higher than one.

*
,for all worths of x.

So the domajor of any kind of polynomial feature

*
.

Any polynomial feature is continuous on its domain.

Hence the function

*
is continuous at eincredibly number on
*
.

*
is a rational function, so it is consistent at eincredibly number in its domajor.

Solution:

Option (b) is correct alternative.

See more: In Texas, Failure To ________________ Can Cause You To Be Imprisoned For 5 Years.

*
is a rational attribute, so it is consistent at eincredibly number in its domajor.

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