MA 105 Rational Functions and Conic Sections - In exercises...

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In exercises 1 and 6, determine the domain and intercepts of the given function.==
X-INTERCEPT: Plugging f(x) =0, we get x=23as X-intercept, hence X-intercept is (23, 0)Y-INTERCEPT: Plugging x=0 we do not get any Y-intercept as function is not defined at y=0In exercises 14, 16, and 18 determine the vertical and horizontal asymptotes of the graph of thegiven function.Sketch the graph.Then, determine appropriate WINDOW values, and check youranswer using your graphing calculator.Choose the viewing rectangle carefully to obtain a correctand complete representation of the function.Be sure that your viewing rectangle is large enough toindicate the asymptotic behavior of the function.You may not always be able to show all of theimportant behavior of the function in one viewing rectangle.=
Graph:
16.f(x)=x2+1x2+2x3Vertical Asymptote:2230(1)(3)013xxxxxx Horizontal Asymptote:f(x)=x2x2=1y=1Graph:
18.f(x)=x21x+2Vertical Asymptote:202xx Slant Asymptote:f(x)=(x2)+3x+2y=x2
Graph:In exercises 22 and 26, determine the domain and sketch the graph of the reducible function.

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Term
Fall
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Tags
Rational Functions, Conic Sections, Limit of a function, 0 k, 2 K, centre of circle, appropriate window values

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