Presentation on theme: "Who has the Power? Today you will investigate the slope of polynomial Parent Graphs and infer an important rule."— Presentation transcript:
1Who has the Power?Today you will investigate the slope of polynomial Parent Graphs and infer an important rule.
2Warm-UpEach team member should compute one of these derivatives using the IROC method.
3Tangent 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.
4Tangent Lines Write a slope statement for (Describe what is happening with the slope.)
5Tangent 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?
6Looking 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?