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Curve Sketching. Objective To analyze and sketch an accurate graph of a function. To analyze and sketch an accurate graph of a function.

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Presentation on theme: "Curve Sketching. Objective To analyze and sketch an accurate graph of a function. To analyze and sketch an accurate graph of a function."— Presentation transcript:

1 Curve Sketching

2 Objective To analyze and sketch an accurate graph of a function. To analyze and sketch an accurate graph of a function.

3 Curve Sketching Steps: Steps: 1.Find intercepts and asymptotes. 2.Find critical points. 3.Find increasing and decreasing intervals. 4.Find all relative extrema. 5.Find concave up and down intervals. 6.Find all inflection points.

4 Curve Sketching Sketch the graph of the following function. Be sure to include intercepts, extrema, and inflection points. Sketch the graph of the following function. Be sure to include intercepts, extrema, and inflection points.

5 Curve Sketching

6 Sketch the graph of the following function. Be sure to include intercepts, extrema, and inflection points. Sketch the graph of the following function. Be sure to include intercepts, extrema, and inflection points.

7 Curve Sketching

8 Sketch the graph of the following function. Be sure to include intercepts, extrema, and inflection points. Sketch the graph of the following function. Be sure to include intercepts, extrema, and inflection points.

9 Curve Sketching

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