Transcript Document

20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Analyzing Graphs
using Winplot
y
x
NUM-L4 Objectives:
5
To use Winplot to analyze equations and their graphs.
Learning Outcome B-4
Slide 1
20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Graph y = 2x2 – 8x + 3.
Find the coordinates of the lowest point on the graph.
Theory – Vertices
Slide 2
20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Graph y = 3x3 – 7x2 + x + 1 and find the value of y when,
(a) x = 1.00
(b) x = -3.12
Theory – Evaluate y at x (trace)
Slide 3
20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Graph the equation and set the graphing window to display a
complete graph.
Describe the shape of the graph.
Theory – Hyperpola
Slide 4
20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Graph
Set your graphing window to show where y does not exist for a
given value of x.
Theory – Asymptotes
Slide 5
20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Graph y = x2 – x - 2. Find the roots or solutions for the equation.
Theory – Roots
Slide 6
20S Applied Math
Mr. Knight – Killarney School
Unit: Real Number System
Lesson: NUM-L4 Analyzing Graphs using Winplot
Find the relative maximum and minimum values for the graph of
y = x3 – 3x2 –x + 3
Theory – Relative Max and Min
Slide 7