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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

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.

Ask a homework question - tutors are online