Explore - Vertical Line Test
Use the checkboxes to show the graphs one at a time. Each graph will have a point that you can drag to perform a vertical line test. A graph shows a function if the vertical line never passes through two points at once on the graph.
1. Which graphs are functions?
2. One checkbox displays the equation y = x to the nth power. Change the value of n.
a. What happens when n is a positive even number?
b. What happens when n is a positive odd number?
c. What happens when n is a negative even number?
d. What happens when n is a negative odd number?
3. In this interactive, what do all of the related that are not functions have in common?