Recent Tutoring Session Reviews
"This was primarily a big review session for her test coming up, and we covered: functions and their translations/ transformations, asymptotes and discontinuities, piecewise functions, and the sum/ difference/ product/ quotient/ composition of functions."
"I helped the student prepare for an upcoming precalculus test by reviewing the topics of limits, velocity, and acceleration with her. She was very receptive, and by the end of the session, she demonstrated that she understood the material."
"This was a good session. We defined the composition of functions. We reviewed (f+g)(x), (f-g)(x), (f/g)(x), (fxg)(x), and f(g(x)). We then composed composition of function functions and determined their domains, ranges, and transformations. We dealt with these scenarios algebraically and graphically."
"Today, we went more in depth with graphing. Specifically, we went over transformations and domain of various functions. The student was relatively comfortable with transformations."
"Today, we reviewed horizontal, vertical, and slant asymptotes. We also looked at removable vs. non-removable discontinuities and IVT. We spent the majority of the time discussing the student's assignment on complex numbers and complex number simplification and plotting."
"Today's session was focused on preparing the student for her unit test which she is going to be taking tomorrow. We had some struggles, but found a good way to answer all of the question types that are going to be presented. The emphasis was placed on identifying what information we are given in the problem, and deciding how to reach the desired end goal. The first hurdle and problem that gave us trouble from a previous session was how to define the domain and range of a function that has been transformed. I was able to write down a guide to illustrate how the new x and y values are to be calculated depending on how they are manipulated in the new function. Another particular sticky spot was determining a linear function given to conditions to fit the function. Once we were able to interpret these two conditions as points on the graph, we are able to use the slope formula to find the slope of the linear function, and then plug in one of the points to solve for the y-intercept of the function. These problems often look much harder than they actually are at first glance. Another concept related to these was determining the appropriate range for the situation, which required us to think about how the values of x in the function relate to the real life situation it is trying to model. The student had some difficulty understanding how to determine the domain, but again, emphasizing a close reading of the problem provides us with certain requirements that we can relate to a range of x values. After working through several different composition of functions problems, I feel she has a very good grasp on them. As long as she doesn't rush through and pays attention to which is the output and input of each function, she does great. It's been pretty tough going, but I believe that if she can review more tonight in preparation and practice a couple different kinds of these problems, she has a good shot at scoring well."