Rational functions: Distance, rate, and time PowerPoint PPT Presentation

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Title: Rational functions: Distance, rate, and time


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Rational functionsDistance, rate, and time
Consider the function t(r) time required to
cover distance of 300 miles at a rate of r mph
As rate increases, time approaches zero. We say
As rate approaches zero, time increases without
bound. We say
"t of r approaches 0 as r approaches positive
infinity"
"t of r approaches infinity as r approaches 0
from the right"
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This behavior leads to asymptotes in the graph
Vertical asymptote at r 0
Horizontal asymptote at t 0
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