Big Ideas Math: Modeling Real Life, Grade 6
BI
Big Ideas Math: Modeling Real Life, Grade 6 View details
5. The Coordinate Plane
Continue to next subchapter

Exercise 6 Page 374

Make a function table to find some ordered pairs.

Practice makes perfect

To graph the function y=8x, we will follow two steps.

  1. Make a function table to find some ordered pairs.
  2. Graph the ordered pairs and draw the line through them.

    Let's do these things one at a time. To make a function table, we will select some values of x which will be part of our domain. Then we will substitute these values into the function for x to find the corresponding values of y. These x- and y-values will create a set of ordered pairs.

    x 8x y (x,y)
    - 1 8( - 1) - 8 ( - 1, - 8)
    0 8( 0) 0 ( 0, 0)
    1 8( 1) 8 ( 1, 8)

    We found three ordered pairs that lie on the graph of our function. Now we will graph the ordered pairs and connect them with a straight line.

    points and line

    The line is the complete graph of the function. The ordered pairs corresponding to any points on the line are solutions of the equation y=8x.