At this point you should be able to find limits using a variety of different methods - substitution, graphically, numerically, using tricky algebra, applying properties of limits, and using the Sandwich (or Squeeze) Theorem. Homework is p. 62 # 7-11, 22-30even, 41-43, 45,46, 54-57. Chapter 2 solutions manual is available here. NOTE that you have to be logged in to your SVSD google drive account to access this file.
Today we talked about the concept of the limit. We looked at average rate of change using a difference quotient, and instantaneous rate of change by looking at the limit of the difference quotient as h approaches 0. We also talked about right hand and left hand limit, and found limits using substitution, numerically, and using a graph. Homework is p. 62 #1-6, 17-20 (practice graphing them by hand, then check using your calculator), 31, 32. Homework solutions available here.
Today you got back your chapter 1 exams. Sadly, the scores were not very high, so we took the opportunity to do test corrections in class. You may earn back half of the points you lost by doing test corrections. In order to earn points back, your corrected problems must be done on the test corrections for AND you must complete the reflection for each question. Without a reflection you will not earn any points back! Test corrections are due by next Monday 10/5. Feel free to stop by before or after school if you have questions on your exam.
Here are the complete solutions to the chapter 1 review assignment. Note that #40 was incorrect in the first answer key (from post below) but has been corrected in this version. Email if you have questions.
Here is a study guide with a list of the topics/ideas we covered this chapter. The review assignment hits the major concepts, however, the review assignment does not have any problems dealing with lines and slope. Make sure you review parallel and perpendicular lines, slope, and writing equations of lines.
Today we completed our review of trig function by graphing cotangent. We then began the chapter 1 review assignment. Do as many problems as you need to feel comfortable with the material. Remember the test is on Thursday. Come to class tomorrow with all your questions! Some solutions to the review assignment are available here, but it is not complete. I did them quickly, so let me know if something is confusing, or if you find a mistake!
Today we practiced graphing sine and cosecant, and cosine and secant functions. Then we reviewed how to graph tangent. Here are the powerpoints from class. The section on graphing tangent and cotangent may or may not be helpful. Homework was a worksheet with 10 functions to graph. Concentrate on the ones that you can graph, and we'll finish up with cotangent tomorrow. Solutions available here.
Today we talked about graphing sine and cosine. You can use whatever method you are comfortable with to graph - create a t-table, or use the box method, or some other method. The important part is to be able to identify the amplitude, period, and phase shift, and understand how transformations will affect the graph. Homework was p. 49 #18, 20, 21, 22, 25, 29. We did not talk about inverse functions, and did not talk about restricting the domain, and the range of inverse functions, so you may be confused with some of the later problems. We will talk about them in class tomorrow. Solutions are available here.
Today we reviewed the unit circle. You need to memorize the unit circle - it will make your life much easier in the long run! Homework was a worksheet. Answers are posted here (at the end of the file).
Today we looked at the inverse of exponential functions which are logarithmic functions. The solutions to the in class examples are available here. Homework is p. 39 #33, 36, 38, 39, 42, 45, 46, 48. Homework solutions available here.
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