ACT® · Math: Functions — Properties of Functions
Relations, Functions, and One Output per Input (F 505)
Watch it explained
- How it worksHow does the vertical line test turn one output per input into something you can see on a graph?
- Worked exampleFind which of the point sets (1,3),(2,5),(1,7) and (1,3),(2,5),(3,7) is a function.
- Worked exampleWalk me through testing whether the table x = 1, 2, 2, 4 paired with y = 5, 6, 9, 11 defines a function.
- Common mistakeWhy doesn't a function break when two different inputs give the exact same output?
- Going furtherWhat happens to the vertical line test on a circle of radius 5 centered at the origin?
Check yourself
Your turneasy1 of 3
A table pairs the inputs x = 2, 5, 5, 9 with the outputs y = 3, 2, 7, 7. Does the table define a function?End of topic.