the third set represent a function
For the points to represent a function then for each value of x there can only be one corresponding value of y
sets 1, 2 and 4 do not obey this and have more than one value of y for a given x
set 1
1 → 1, 2, 3, 4, 5
set 2
3 → 3, - 3 and 5 → 5, - 5
set 4
- 1 → - 1, 1 and - 2 → 4, - 4
The third option is correct. It is because all the values of x maps to a single unique value of y.
A function is a mathematical relation which assigns only one value to each input it takes.
It contradicts the definition of function as:
(1,1), (1,2) denotes that input 1 maps to output 1 and output 2 both. Thus it is not a function.
It doesn't satisfies the definition of function as:
(3,3) (3, -3) denotes that 3 maps to both 3 and -3 as output. Thus it is also not a function.
It is a function since it outputs only single value to each input it takes, viz:
(0,5), (1, 10), (2, 15) ,(3, 20), (4, 25)
It doesn't satisfies the definition of function as:
(-2,4) and (-2,-4) tells that -2 outputs two values 4 and -4. Thus it is not a function.
Thus, only option 3 given is a valid function.
Learn more about functions here:
https://brainly.com/question/14674614
