Question

The ordered pairs (1,1) (2,32) (3,243) and (4, 1024) represent a function. what is a rule that represents this function?

y=x^5
y=5x
y=5^x
y=x+5

Answer 1

Answer:C

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

y = x⁵

Explanation:

We have the following ordered pairs (x, y):

• (1, 1)

• (2, 32)

• (3, 243)

• (4, 1024)

The function that represents the relationship between x and y is y = x⁵.

Let's see how it is applied in each case.

(1, 1)

When x = 1, y = 1⁵ = 1

(2, 32)

When x = 2, y = 2⁵ = 32

(3, 243)

When x = 3, y = 3⁵ = 243

(4, 1024)

When x = 4, y = 4⁵ = 1024

Let's use the ordered pair (1, 1) to prove that the other functions do not work.

y = 5x. When x = 1, y = 5 . 1 = 5 ≠ 1

y = 5ˣ. When x = 1, y = 5¹ = 5 ≠ 1

y = x + 5. When x = 1, y = 1 + 5 = 6 ≠ 1