Previously we did a short bit on what a limit is. The rationale being that students use limit notation to describe end behavior but don't really know what limit notation is.
Students learned about end behavior in Algebra 2. But didn't use limit notation. They used a little short cut way of writing it. For example a standard cubic graph would be:
LEB & REB:
http://hotmath.com/hotmath_help/topics/end-behavior-of-a-function.html
We transition to writing this with limit notation. And the idea is since we went over what a limit was and students had to find limits they would be a little better at writing this in limit notation. We'll see!
We start with a few functions on the white board (I ask students to go up and draw a standard parabola, then one opening down, then a standard cubic, then one that is reflected over the y-axis, then a basic rational function with VA x = 2 and HW y = 1 and then an exponential function that is shifted down 3). We talk about the end behavior of each graph. Using what they know about limit notation can they come up with a way to describe the end behavior in limit notation? After working in their groups I have them share what they come up with. Since this is an advanced class they pretty much go where I intend them to.
And so we summarize with a foldable:
And then on the "right side reflect" they apply their new end behavior writing skills to do the following examples:
PreCalculus ISN foldable stuff here.
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