QUESTION IMAGE
Question
look at this table:
| x | y |
|---|---|
| 0 | 4 |
| -10 | 15 |
| -11 | 19 |
| 0 | -15 |
is this relation a function?
options: yes, no
Step1: Recall function definition
A relation is a function if each input (x - value) has exactly one output (y - value).
Step2: Check x - values for duplicates
Look at the x - values in the table: 11, 0, - 10, - 11, 0. The x - value 0 appears twice.
Step3: Check corresponding y - values for x = 0
When x = 0, the corresponding y - values are 4 and - 15. Since one input (x = 0) has more than one output, the relation is not a function.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
no