explain, using the theorems, why the function is continuous at every number in its domain.

Explain, Using The Theorems, Why The Function Is Continuous At Every Number In Its Domain.

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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.

is a rational attribute, so it is constant at eexceptionally number in its doprimary.answeredFeb 2, 2015by yamin_mathMentor Please log in or register to include a comment. Related questionsExplain, utilizing Theorems why the feature is continuous at every number in its doprimary. State the doprimary.askedJan 10, 2015in CALCULUSby anonymousdomain-of-a-feature For what value(s) of the continuous a is the feature f continuous everywhere...?askedJan 31, 2015in CALCULUSby anonymouscontinuouspiece-wisefunctionconstantvalue For what value(s) of the continuous a is the attribute f constant everywhere?askedJan 29, 2015in CALCULUSby anonymousfunctioncontinuousconstantvalues How carry out I discover the doprimary and selection of this function:askedNov 7, 2013in ALGEBRA 2by andrewScholardomainrangefunction Discuss whether R is consistent at c.Use boundaries to analyze the graph of R at c. Graph R.askedFeb 16, 2015in PRECALCULUSby anonymouslimitsconstant Find the numbers at which f is continuous.At which numbers is f discontinuous?askedFeb 16, 2015in PRECALCULUSby anonymouslimitscontinuous Exsimple why the attribute is disconstant at the provided number a . Lay out the graph of the attribute.askedJan 10, 2015in CALCULUSby anonymousgraphing-functions Determine whether f is continuous at c.askedFeb 16, 2015in PRECALCULUSby anonymouslimitscontinuous Determine whether f is continuous at c.askedFeb 16, 2015in PRECALCULUSby anonymouslimitsconsistent Sketch the graph of the function and state its domain.askedJan 27, 2015in CALCULUSby anonymouslogarithmsdomain Find the domajor, x -intercept, and vertical asymptote of the logarithmic function and sketch its graph.askedJan 27, 2015in TRIGONOMETRYby anonymousdomainx-interceptvetrical-asymptote uncover the domain of the feature. offer bring about interval notationaskedJan 15, 2015in CALCULUSby anonymousdomainintervalnotation Find (a) the doprimary of f and (b) f -1 and its domain.askedJan 27, 2015in CALCULUSby anonymousinverse-functionsdomajor What is the domain of the functionaskedFeb 21, 2013in ALGEBRA 1by angel12Scholardomain What is the domain of the functionaskedJan 17, 2013in ALGEBRA 1by angel12Scholardomain Explain why the feature has a zero in the given interval.askedJan 9, 2015in CALCULUSby anonymousfunctionsinterval 1 E. x>0 F. x>1/2 13. y=- + 6 A. -4/34/3 C. x6 E. all actual numbers F. x>0 14. The graph of y=6 - contains which point? A. (1,4) B.(0,1) C.(0,6) D. (1,5) E.(2,4) F. none of the above">Give the doprimary (that is, possible worths of x):askedJul 18, 2013in ALGEBRA 1by harvy0496Apprenticedomajor Coordinates of the vertex, domajor and variety, the maximum or minimum value y=-4x^2?askedFeb 7, 2015in CALCULUSby anonymousvertexdomainrangemaximumminimum Differentiate f and discover the domajor of f.askedJan 27, 2015in CALCULUSby anonymousdifferentiate-the-functiondomain For the function g(x) whose graph is displayed, provide the value of each amount...askedJan 25, 2015in CALCULUSby anonymousfunctiongraphsecant-linetangent-linelimit