Not all roles available for this page.
Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
The graphs of three functions are shown.
Kiran was running around the track. The graph shows the time, , he took to run various distances, . The table shows his time in seconds after every three meters.
| 0 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | |
| 0 | 1.0 | 2.0 | 3.2 | 3.8 | 4.6 | 6.0 | 6.9 | 8.09 | 9.0 |
Priya is running once around the track. The graph shows her time given how far she is from her starting point.
The graph shows the temperature between noon and midnight in one day in City A.
Here is the graph showing Noah's run.
The time in seconds since he started running is a function of the distance he has run. The point on the graph tells us that the time it takes him to run 18 meters is 6 seconds. The input is 18 and the output is 6.
The graph of a function is all the coordinate pairs, (input, output), plotted in the coordinate plane. By convention, we always put the input first, which means that the inputs are represented on the horizontal axis, and the outputs are represented on the vertical axis.
Here is a graph showing the temperature in a town as a function of hours after 8:00 p.m.
The graph of a function tells us what is happening in the context the function represents. In this example, the temperature starts out at F at 8:00 p.m. It decreases during the night, reaching its lowest point about 8 hours after 8:00 p.m., or 4:00 a.m. Then it starts to increase again.