Question

The table below shows the fourth powers of different numbers:Number (x) 1,-1,3,-3 Fourth power of the number (y) 1,1,81,81Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

Answer 1

The table represents y as a function of x.

To justify this let's remember the definition of function:

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

In this case we notice that for each element x their corresponding value of y is the fourth power, that is, we can relate the variables by the equation:

`y=x^4`

Now, since we only have one output for every input we fulfil the second part of the definition and hence we conclude that the table is representing a function.