Stitz-Zeager_College_Algebra_e-book

# Y 2 1 2 1 1 1 2 x 2 3 4 5 6 in studying quadratic

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Unformatted text preview: izontal asymptote of the graph, conﬁrming our answer to part 2, and the graph intersects the line y = 42 at x = ln(2799) ≈ 7.937, which conﬁrms our answer to part 3. 84 y = f (x) = 1+2799e−x and y = 84 84 y = f (x) = 1+2799e−x and y = 42 14 Or, more likely, three people started the rumor. I’d wager Jeﬀ, Jamie, and Jason started it. So much for telling your best friends something in conﬁdence! 15 See, for example, Example 6.1.2. 386 Exponential and Logarithmic Functions If we take the time to analyze the graph of y = N (x) above, we can see graphically how logistic growth combines features of uninhibited and limited growth. The curve seems to rise steeply, then at some point, begins to level oﬀ. The point at which this happens is called an inﬂection point or is sometimes called the ‘point of diminishing returns’. At this point, even though the function is still increasing, the rate at which it does so begins to decline. It turns out the point of diminishing returns always occurs at half the limiting population. (In our...
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## This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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