Answer:
The options 3, 4, and 5 are functions.
Step-by-step explanation:
If there is more than one value of y for a given single value of x then this is called a relation but not a function.
That geometrically means that if you can draw a vertical line that intersects the graph that is plotted from the given points that intersect the graph at more than one point then this graph is called a relation and not a function.
Here, in option one the points on the graph are given to be (6,-6), (-3,12), (6,-1) and (-8,13), which is not a function as there are two values of y for x = 6.
Now, in option two the points on the graph are given to be (0,0.5), (2,1), (1,2.5) and (0,2), which is also not a function as there are two values of y for x = 0.
Now, in option three the points on the graph are given to be (8,7), (7,8), (6,5) and (5,6). this can be a function.
Now, in option four the points on the graph are given to be (-2,7), (-3,9), (-5,9) and (-8,11). this can be a function.
Finally, in option five the points on the graph are given to be (-3,0), (-5,8), (-7,8) and (-9,0). this can be a function. (Answer)
