Exponential functions take on the form f(x) = ax, a > 0 and a not equal to 1.Why we let a > 0? What might happen if we allow a to be negative?
Imaginary numbersWhen there are no real roots, it does not mean there are no solutions to the equation. Just that the roots are imaginary. Your calculator shows you "i" as well. So what is "i"?A brief introduction to imaginary numbers: http://www.mathsisfun.com/numbers/imaginary-numbers.htmlsolving equations with imaginary roots: http://www.regentsprep.org/regents/math/algtrig/ate3/quadcomlesson.htm
This is a good guide to significant figures: http://www.usca.edu/chemistry/genchem/sigfig.htm
Real life applications of matrices (padlet class activity): http://padlet.com/madeleine_chew/wcub8owojch5
For your reading pleasure =)Digital Music Couldn't Exist Without the Fourier Transform: http://gizmodo.com/digital-music-couldnt-exist-without-the-fourier-transfo-1699155287
Hyperbola vs Parabola: http://www.differencebetween.net/science/difference-between-parabola-and-hyperbola/
For your reading pleasure: Trigonometry and JPEG: http://petapixel.com/2015/05/24/how-jpeg-handles-colors-and-compression/
Video on binomial theorem, connection between binomial theorem and combinatorics: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-and-combinatorics-intuition