Question

Which set of coordinates could be points on the graph of a function?

a) (0,-4), (-2,-7), (0,2), (-3,-8)
b) (6,2), (3,5), (1,10) (3,7)
c) (-6,4), (-3,-3), (2,-2), (2,8)
d) (8,4), (-8,-4), (2,8),(4,2)

Answer 1

The set of coordinates that could be points on the graph of a function is b) (6,2), (3,5), (1,10), (3,7).

Step-by-step explanation:

In order for a set of coordinates to represent points on the graph of a function, no two points can have the same x-coordinate but different y-coordinates. Only one of the options provided satisfies this condition: option b) (6,2), (3,5), (1,10) (3,7).

In this set of coordinates, all the x-values are different, which means they represent distinct points on the x-axis. Therefore, these points can indeed be points on the graph of a function.

For example, if we consider the points (6,2) and (3,5), we can draw a graph where the x-values represent time and the y-values represent temperature. Each point represents a different time and temperature combination, making them valid points on the graph of a function.