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

Answer:

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

Step-by-step 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,

 $2\times(0)^3=2(0)=0$

$2\times(1)^3=2(1)=2$

$2\times(2)^3=2(8)=16$

$2\times(3)^3=2(27)=54$

$2\times(4)^3=2(64)=128$

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