CPM Homework Banner

Home > PC > Chapter 6 > Lesson 6.2.2 > Problem 6-84

6-84.

Below is a graph of a periodic function and the line . One of the intersection points is .

First quadrant periodic curve, x axis scaled from 0 to 3, with 3 visible turning points, at (5, comma 12), (15, comma 2.5), & (25, comma 12), & hoirzontal line at y =5, first intersection of horizontal with curve at labeled point A, 11.31, comma 5), and at second intersection labeled, B.

  1. What is the period of the function?

  2. Use the symmetry of the graph to find the coordinate of the intersection labeled as point .

    Set up an equation involving .

  3. What is the coordinate for the point labeled ?

    Set up an equation involving .

Added to graph, blue dots at the high turning points of (5, comma 12), & (25, comma 12), segment connecting 2 dots, labeled period.

Added to graph, 2 horizontal rays, lower on x axis, from the origin to 15, upper on y = 5, from (0, comma 5) to point labeled A.

Added to graph, 2 horizontal rays, upper on y = 5, from (0, comma 5) to point A, lower just below y = 5, from x = 0 to x = 5.