Slide 1 : Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 1 Graph of the Sine Function To sketch the graph of y = sin x first locate the key points.These are the maximum points, the minimum points, and the intercepts. Then, connect the points on the graph with a smooth curve that extends in both directions beyond the five points. A single cycle is called a period.
Slide 2 : Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Graph of the Cosine Function To sketch the graph of y = cos x first locate the key points.These are the maximum points, the minimum points, and the intercepts. Then, connect the points on the graph with a smooth curve that extends in both directions beyond the five points. A single cycle is called a period.
Slide 3 : Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 3 Example: Sketch the graph of y = 3 cos x on the interval [–, 4]. Partition the interval [0, 2] into four equal parts. Find the five key points; graph one cycle; then repeat the cycle over the interval.