Objectives (click/tap to expand)
Define and identify exponential functions
Graph exponential functions
State whether functions show growth or decay
Given two points on the x-y plane, determine the exponential function that passes through them
Solve inequalities graphically
Graph logistic functions (this will come up in AP Biology -- feel free to ask me about it)
Solve applications (will cover in next section)
With the formal definition of "exponential function," find the equation for such a function that passes through two given points.
You may experiment with the Geogebra construction that's shown in the video within your web browser here.
For 2020, here's a quick summary of what we would have done in class. As always, I encourage you to be an active learner.
According to your own needs: Pause, take notes, back up, skip forward, play at increased or decreased speed.
Video by YouTube Math stud 3Blue1Brown on how exponential growth has quite accurately described the occurrence of COVID-19.
You might find it interesting and relevant, but completely understood if you'd rather not hear any more about this virus than you already have!
He lightly gets into logistic growth (in current chapter of PreCalc book, but we won't get into it too deeply).
Go to next page, Chapter 3.2.