
This is an engaging explore and match activity for analyzing and sketching graphs of rational functions, radical, exponential, logarithmic, trig and inverse trig composite functions using calculus. Students will use limits, first and second derivatives to provide information about function behavior and then sketch the graph of the function.
Activity Directions: On each slide in sub problem a) students are given a function and are instructed to explore it (to identify its features - intercepts, asymptotes, intervals of increase and decrease, local maximum and minimum points, intervals of concave up and concave down, inflection points) and then to sketch the graph of it. In sub problem b) students are given two graphs and have to choose which one of them is the correct graph of the given function.
There are included 10 slides/functions.
Students can work individually or in pairs.
Answer keys are provided.
*This product is created as a Google Slides product, but it is uploaded here as a Power Point presentation and in PDF format.
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