HOw does one do curve sketching?

Asked by invic (110

) November 17th, 2009

Curve sketching has stumped me since day 1 and i don’t quite get the rules or the steps and reading the explanations i get lost. especially what makes an absolute or local max/min, i’m lost on that, especially when just seeing a graph and needing to deduce (aha deduce, big word). Can one of you simplify it, please and thankyou

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If a function has an absolute maximum at x = b , then f (b) is the largest value that f can attain. Similarly, if a function has an absolute minimum at x = b , then f (b) is the smallest value that f can attain.

A function f has a local maximum at x = b if f (b) is the largest value that f attains “near b .” Similarly, a function f has a local minimum at x = b if f (b) is the smallest value that f attains “near b .”

Taken together, the local maxima and local minima are known as the local extrema. A local minimum or local maximum may also be called a relative minumum or relative maximum.

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