5. Curve Sketching.

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Presentation transcript:

5. Curve Sketching

Steps Find the domain Find any discontinuities – if there is a VA, plot it now Analyze end behavior (find lim as x approaches infinity and negative infinity) – If there is an HA, plot it now Find easy intercepts (y will always be easy – x will not always) – plot them now Find intervals of inc/dec (f’) Find intervals of CU and CD (f’’) Find coordinates of any relative extrema and inflection points Connect the dots with appropriate curve types

4 different graph segments Concave up, increasing Concave down, increasing Concave up, decreasing Concave down, decreasing

Example 1 – graph each of the following Example 1 – graph each of the following. Use your calculator minimally, only to find function values and to verify your graph