Students will practice finding vertical, horizontal and slant asymptotes using limits in this activity. There are included rational, involving radicals, exponential and natural logarithm functions.
Students will work through 7 sections (or less if preferred). There is a function given in each section and differentiated instructions to each of the partners. In each section they share their work like this – Partner A finds all the vertical asymptotes of the given function while Partner B finds the slant asymptote of the same function. In the next section Partner B finds the vertical asymptotes of another function while Partner A finds the slant. There are sections where one of the partners is asked to find the horizontal asymptotes and the other partner – the vertical. The last section asks Partner A to find the left horizontal asymptote and Partner B – the right horizontal asymptote of a function.
Students recording sheets are specially designed for this activity with HINTS and rooms to show work. Partners have to record all their answers in a table on a partners’ response sheet provided.
Answer key is included.
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