Sunday, December 16, 2012

Fibonacci Haiku

Music.
 Electro.
DJs, composers.
Their energy inspires.
Producers make fun, original songs.
The sexy beats; the cool rhythm blows minds.

Monday, November 5, 2012

Student Problem #4

This is a graph of a logarithmic function where the function, its key points, its (horizontal) asymptote, its x-intercept, its y-intercept, its domain, and its range is shown. Pay special attention to the range, it is infinite both ways which is the exact opposite of exponential functions where their domain is infinite both ways.

Student Problem #3


This is a graph of an exponential function where the function, its key points, its asymptote, its x-intercept, it y-intercept, its domain and its range is shown. Pay close attention to the function and be aware that h is the opposite of what it is because even though it says "x-2", h is actually positive 2. Also be aware of the fact that there is no x-intercept because 1) you get an undefined answer when solving for it and 2) the graph will not hit the x-axis because the vertical asymptote will not allow it.

Sunday, November 4, 2012

Student Problem #6

This is an example of a partial fraction decomposition with repeated factors. You do the exact same thing as the PFD with distinct factors except that when you start, the factors that are repeated will be separated into separate fractions. You count up the powers and include the factors as many times as the exponent number.