MATH 1013 Chapter Notes -Asymptote, Graph Paper, Maxima And Minima
Document Summary
In this section, we will cover up a few general points that you need to remember when writing an exam/midterm for any math 1013 course at york university. In order to sketch a graph, you will need: To calculate the domain of the function, the denominator has to be equated to zero, i. e. which in turn gives us: Next, to calculate the x-intercept, simply evaluate . To determine the symmetry of a function, use the following general rules: In this case, when we evaluate , we get: Hence, there is no symmetry for the function . To find the vertical asymptote (in this case, for the rational function): Which means that the va is at . To find the horizontal asymptote, calculate its limit as approaches , i. e. hence, the ha is at . [this function has no slant asymptote as it is a rational function. We shall look into other examples in my other notes for calculating slant asymptotes. ]