Lesson 11

Examining Domains and Ranges

  • Let’s play with graphs, domains, and ranges in situations.

11.1: Notice and Wonder: A Wiggly Graph

What do you notice? What do you wonder?

Coordinate grid with wiggly graph. Horizontal axis by twos. Vertical axis by ones. Graphs starts around 2 comma 2 point 2 and ends around 7 comma 4.


11.2: Moving Weeds and a Ball

  1. Examine these graphs and describe a situation that could match the situation.
    1. Graph on coordinate plane. Horizontal axis, time in seconds, by 50s. Vertical axis, distance moved in meters, by 50s.
    2. Plotted points on grid. 
    3. Graph on coordinate plane.
  2. For each situation, give an example of a value that could be:
    • In the domain
    • Not in the domain
    • In the range
    • Not in the range

11.3: Make It Realistic

  1. What is wrong with these graphs?
    1. The graph relates the length of a side for a square and the area of the square.

      Graph on the coordinate plane. 
    2. The graph relates the number of students going on a field trip and the cost of the trip.

      Graph of a line. Horizontal axis, number of students, by twos. Vertical axis, cost of trip, by twenties. Graph starts at 30 comma 0 and ends at 20 comma 230.
    3. The graph represents Han’s height since he was 4 years old until now when he is 14.

      Graph of line. Horizontal axis, age in years, by twos starting at 6. Vertical axis, height in feet, by tens. Line starts at 4 comma 0 and ends at 14 comma 23.
  2. On each graph, draw a more realistic graph.