Question

The set of ordered pairs (0,0)(1,2)(2,16)(3,54)(4,128) represents a function. Write a rule that represents the function.

Answer 1

The function rule is,
`y=2x^3`

Explanation:

We have to find the function rule,

so, it is important to find any invariant values for each x-value.

In this case, we see that if we cube each x-value and then multiply by 2, then we get the corresponding y-value.

i.e,

`2*(0)^3=2(0)=0`

`2*(1)^3=2(1)=2`

`2*(2)^3=2(8)=16`

`2*(3)^3=2(27)=54`

`2*(4)^3=2(64)=128`

Therefore, the function rule is
`y=2x^3`