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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
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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.
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.
Option (b) is correct alternative.
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is a rational attribute, so it is consistent at eincredibly number in its domajor.answeredFeb 2, 2015by yamin_mathMentor Please log in or register to add a comment. Related questionsExsimple, making use of Theorems why the feature is constant at eexceptionally number in its domajor. State the domajor.askedJan 10, 2015in CALCULUSby anonymousdomain-of-a-attribute For what value(s) of the consistent a is the attribute f constant almost everywhere...?askedJan 31, 2015in CALCULUSby anonymouscontinuouspiece-wisefunctionconstantworth For what value(s) of the consistent a is the attribute f constant everywhere?askedJan 29, 2015in CALCULUSby anonymousfunctioncontinuousconstantvalues How carry out I discover the doprimary and variety of this function:askedNov 7, 2013in ALGEBRA 2by andrewScholardomainrangefunction Discuss whether R is continuous at c.Use boundaries to analyze the graph of R at c. Graph R.askedFeb 16, 2015in PRECALCULUSby anonymouslimitsconsistent Find the numbers at which f is continuous.At which numbers is f discontinuous?askedFeb 16, 2015in PRECALCULUSby anonymouslimitscontinuous Exsimple why the function is disconsistent at the offered number a . Sketch the graph of the attribute.askedJan 10, 2015in CALCULUSby anonymousgraphing-features Determine whether f is continuous at c.askedFeb 16, 2015in PRECALCULUSby anonymouslimitscontinuous Determine whether f is consistent at c.askedFeb 16, 2015in PRECALCULUSby anonymouslimitscontinuous Sketch the graph of the function and state its domain.askedJan 27, 2015in CALCULUSby anonymouslogarithmsdomajor Find the domajor, x -intercept, and also vertical asymptote of the logarithmic attribute and sketch its graph.askedJan 27, 2015in TRIGONOMETRYby anonymousdomainx-interceptvetrical-asymptote find the doprimary of the function. give bring about interval notationaskedJan 15, 2015in CALCULUSby anonymousdomainintervalnotation Find (a) the domain of f and also (b) f -1 and also its domajor.askedJan 27, 2015in CALCULUSby anonymousinverse-functionsdomain What is the domain of the functionaskedFeb 21, 2013in ALGEBRA 1by angel12Scholardoprimary What is the doprimary of the functionaskedJan 17, 2013in ALGEBRA 1by angel12Scholardomain Exordinary why the attribute has actually 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 genuine numbers F. x>0 14. The graph of y=6 - includes 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 values of x):askedJul 18, 2013in ALGEBRA 1by harvy0496Apprenticedomain Coordinates of the vertex, domajor and also range, the maximum or minimum worth y=-4x^2?askedFeb 7, 2015in CALCULUSby anonymousvertexdomainrangemaximumminimum Differentiate f and also find the doprimary of f.askedJan 27, 2015in CALCULUSby anonymousdifferentiate-the-functiondomain For the function g(x) whose graph is shown, offer the worth of each quantity...askedJan 25, 2015in CALCULUSby anonymousfunctiongraphsecant-linetangent-linelimit