# Algebra 2 B- Lesson 3: Rational Functions And Their Graphs

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question
Suppose that w and t vary inversely and that t=1/5 when w=4. Write a function that models the inverse variation, and find t when w=9.
t=4/5w; 4/45
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Suppose that y varies directly with x and inversely with z, and y=18 when x=15 and z=5. Write the equation that models the relationship. Then find y when x=21 and z=7.
y=6x/z; 18
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Graph the function y=13/6x
Graph C
question
Sketch the asymptotes, and graph the function y= 5/(x-2) +3
Graph C
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This graph of a function is translation of y=4/x. what is an equation for the function?
4/x+6 +2
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Find any points of discontinuity for the rational function y=(x+6)(x+2)(x+8)/(x+9)(x+7)
x=-9, x=-7
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Describe the vertical asymptote(s) and hole(s) for the graph of y=(x+2)(x+4)/(x+4)(x+1)
asymptote: x=-1 and hole: x=-4
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Find the horizontal asymptote of the graph of y=3x^6-7x+10/8x^5+9x+10
There is no horizontal asymptote
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What is the graph of the rational function? y=-3x+5/-5x+2