Curve sketching and function analysis homework answers
Complementary General calculus exercises can be found for other Textmaps and can be accessed here. Where are the critical values of the greatest integer function? Which are local maxima and which are local minima? Give examples to show that a cubic polynomial can have zero, one, or two critical points. How many and what types of local extremes are there? In , find all critical points and identify them as local maximum points, local minimum points, or neither.
What can calculus tell us about curve sketching? It turns out, quite a lot! While you may not be tested on your artistic ability to sketch a curve on the AP Calculus exams, you will be expected to determine these specific features of graphs. The ten steps of curve sketching each require a specific tool.
Find the domain of the function and determine the points of discontinuity if any. Determine whether the function is even , odd , or neither , and check the periodicity of the function. Find the vertical , horizontal and oblique slant asymptotes of the function.