Question

Which table represents Y as a function of X and explain?

Answer 1

For a function a x value cannot have more than 1 corresponding y value
So for example, A, has the x value 1 which has the y values 1 and 5, so because it has multiple x values it is not a function.

So the answer is C

This can be proved because,
8 only has one corresponding y value (-1)
7 only has one corresponding y value (2)
6 only has one corresponding y value (-1)
5 only has one corresponding y value (2)
and 4 only has one corresponding y value (-1)

Each x factor has a unique y factor, making answer choice C a function.

Answer 2

The table which represents y as a function of x from the options given is table C.

To write, y as a function of x ;

y = f(x)

This means that the value of y depends on the value passed in for x.

This means that the value of y for a particular x value cannot change.

Using this explanation to evaluate the data tables given.

Table A :

The values of y for x = 1 are (1 and 5) ; this is not unique.

Table B :

Values of y for x = 4 are - 6 and - 4 (not unique)

Table C :

The given values of x are all distinct

Table D :

For x = 3 ;

y values are not unique, with values 0, 2 and 3 obtained for a single value of x.

Hence, the table which represents y as a function of x is table C.

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