There are three goals for this unit:
1) Develop a library of Families of Functions
2) Master Exponent Properties
3) Master Logarithm Properties
To accomplish the first goal, you and your group have been assigned a particular family of functions. You will have 5-8 minutes to present the details of your function to class. The grade you earn will be determined by considering these three things: accuracy, clarity, and universal involvement/contributions. You are expected to include the following details in your presentation:
Name(s) of your family of functions/graph shapes
Distinguishing characteristic(s)
Basic (parent) equation and graph*
Transformed equation and graph
*Please be sure to include alternative forms of the equation, if any, and an analysis of the graph (domain, range, discontinuities, asymptotes, end behavior, x- and y- intercepts, intervals where the function is increasing/decreasing/constant, and extrema (note existence and type but no need to locate).
To accomplish the second and third goals, we will explore different problems during class. Students who wish to have further practice are invited to try the optional homework assignments. Solutions are provided below.
Optional #1: p. 173 #2-12 evens, 22-32 evens, 38
Optional #2: p. 200 #2-34 evens, 35, 36, 37, 38
Semester Exam Review: Please see the pdf below. Note that the pdf refers to the OZ textbook. We did not do the unit from that text this year, so the exam does not include questions testing that content. You should ignore the references to the OZ book when reviewing from this review packet.