Dear Students,

You have done excellent work today! I was impressed by the different methods you used to build your functions.

Today we practiced building some functions in our graphers, and then using the graphs to determine maximum value. We also explored how domain and range can make a difference in solving a problem. By considering the domain and range, we are able to narrow the scope of our search for a solution. We used the possible x-values to set our X-min and X-max, and we used our possible y-values to set the Y-max and Y-min. This enabled us to see where the solution could be found.

On Friday’s test you will have some problems that will require graphical analysis and algebraic techniques. You can expect some composite function and inverse function questions. You can also expect to have a problem in which you will build a function and find its maximum or minimum. Know the various forms of the function types, especially the quadratics. Review intercept form for quadratics (*y*=*p*(*x*–*q*)(*x*–*r*)) from Algebra II. Also, know your vocabulary, and be able to interpret the potential questions. Look over common formulas for volumes and areas. IF you practice all of the questions I have given you and review your notes and the materials I have provided in these posts, you should be able to pass this first test.

No Math HL test will be easy.

Your class period is 90 minutes. When you take an IB Math HL exam, your time will be limited. You will need to work at a pace of about 1 point per minute. Tomorrow’s test is only a 25 point test, so you can afford to work more slowly (more than 3 minutes per point). Still, be efficient. Scan the problems and find what looks easiest, and do those first. Try to get as many points as possible.

Khan Academy practice with composite functions and inverse functions is recommended:

https://www.khanacademy.org/math/algebra/algebra-functions/eval-function-expressions/e/functions_3

https://www.khanacademy.org/math/algebra/algebra-functions/function_inverses/e/inverses_of_functions

Other practice is available at that site.

Study!

Mr. Bryant