Presentation on theme: "Who has the Power? Today you will investigate the slope of polynomial Parent Graphs and infer an important rule."— Presentation transcript:
1 Who has the Power?Today you will investigate the slope of polynomial Parent Graphs and infer an important rule.
2 Warm-UpEach team member should compute one of these derivatives using the IROC method.
3 Tangent LinesNotice that a tangent to the graph has been drawn at x=1. On the resource page, carefully draw tangents to the curve at x=2, x=4, and x=6 using a straight edge.
4 Tangent Lines Write a slope statement for (Describe what is happening with the slope.)
5 Tangent LinesIf this graph represented the position of a roller coaster during its first 6 seconds, where was it moving the fastest?Where was it moving the slowest?How did you determine your answers?
6 Looking at the slopes graphically On the resource pages, carefully draw tangents to the curve at x = -3, -2, -1, 0, 1, 2, and 3.Compare the slopes of the tangent lines you drew to the slope of the tangent that you get by plugging in the x-values into the slope function (computed in warm-up). What do you notice?