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Home > PC3 > Chapter 5 > Lesson 5.2.1 > Problem 5-47

5-47.

At right is a graph of a periodic function and the line . One of the intersection points is .Horizontal line, at, y = 5, & Periodic curve, x axis scaled from negative 5 to 30, with 4 visible turning points, (negative 5, comma 2), (5, comma 12), (15, comma 2), (25, comma 12), with highlighted points at intersections between horizontal line & curve, point labeled A at, (11.31, 5), point labeled C, between x = negative 5, & x = 0, & point labeled B, between x = 15, & x = 20.  

  1. What is the period of the function?

    What is the horizontal distance between the two maximum points shown on the graph?

  2. Use the symmetry of the graph to state the coordinates of the intersection labeled as point .

    Notice that is in the middle of points and .

  3. What are the coordinates of point ?

    Notice that is in the middle of points and .