Question

The ordered pairs (1,1) , (2,16) , (3,81), (4,256) and (5,626) represent a function . What is a rule that represents this function A. Y=4^x B. Y=4x C.x^4 D. Y=x+4

Answer 1

Answer:

C

Step-by-step explanation:

The numbers that are in pairs the first number raised to power 4 it becomes the second number that it is paired with it.

1^4 = 1 (1,1)

2^4 = 16 (2,16)

3^4 = 81 (3,81)

4^4 = 256 (4,256)

5^4 = 625 (5,625)

Answer 2

Answer:

Option C - $Y=X^4$

Step-by-step explanation:

Given : The ordered pairs (1,1) , (2,16) , (3,81), (4,256) and (5,626) represent a function.

To find : What is a rule that represents this function ?

Solution :

When we see the pairs,

In (2,16) the power 4 of 2 is 16.

i.e. the first number raised to power 4 it becomes the second number that it is paired with it given by formula $Y=X^4$

For X=1, $Y=1^4 =1$ i.e. (1,1)

For X=2, $Y=2^4 =16$ i.e. (2,16)

For X=3, $Y=3^4 =81$ i.e. (3,81)

For X=4, $Y=4^4 =256$ i.e. (4,256)

For X=5, $Y=5^4 =625$ i.e. (5,625)

Therefore, option C is correct.