Author Archives: Sybil Shaver

(After Test 3)   Techniques we will need for applications of exponential functions: Solving for an unknown exponent Example: find x if Solution: take the logarithm of each side. Any base will do. We will use the natural logarithm. by … Continue reading →

Here is the Thinking Strategically Post-Test Survey: it will be useful for you to complete this even if you did not complete the pre-test survey (as it will help with your future test preparation) ThinkingStrategicallyPostTestSurvey   Here are the solutions … Continue reading →

Topics: • Review of finding x- and y-intercepts for various kinds of functions (the basic principle being the same) To find the x-intercepts (which are the roots of the function) you set the function = 0 (namely, y=0). To find … Continue reading →

Test 3 is scheduled for Wednesday 15 November, the first hour or so of class. Here is the survey for you to use to plan how to make best use of the resources available to you: this is for your … Continue reading →

Topics: • Graphs of logarithmic functions: transforming the basic log function graphs (see Session 5, section 5.2 to review the transformations) • Finding the equation of the asymptote, the domain, the x-intercept, and the-y-intercept (if it exists) for the transformed … Continue reading →

Here are the solutions to Test 2, according to the version you have (look at the lower left on the cover sheet) MAT1375Test2a-solutions    version MAT1375Test2b-solutions   version   If you did not receive full credit for problems 3, 5 and/or … Continue reading →

Topics: • Discussion of using the graph to investigate the intervals in solving a rational inequality. Please see the links in the previous post for videos which show solving polynomial and rational inequalities: there is only one that I could … Continue reading →

Topics: • Solving rational inequalities – was done last time with the sub. We discussed two homework problems in some detail. Make sure you understand how to use test points as well as how to use the graphs, when investigating … Continue reading →

(Includes after the test on Wednesday)   Topics: Sketching a complete graph of a polynomial Rational Functions and their graphs Solving polynomial inequalities using the same method we used to solve absolute value inequalities – see Section 1.4   A … Continue reading →

Test 2 is scheduled for the first 50 minutes or so of class on Wednesday 25 October. The review self-tests and answers (with some hints or partial solutions) are on this page. Of course you can also study the solutions … Continue reading →