Question

Write a rule to represent a function for the set of ordered pairs.

Answer 1

y = 4
`x^(2)`

Explanation:

Your inputs (x's): are -1,0,1,2,3,4 if you plug them into the equation, you get the matching outputs given in the order pairs

input -1 (x value)

y =
`4x^(2)`

y = 4
`(-1)^(2)`

y = 4(1)

y = 4

(-1,4)

input 0 (x)

y =
`4x^(2)`

y =
`4(0)^(2)`

y 4(0)

y = 0

(0,0)

input 1 (x)

y =
`4x^(2)`

y =
`4(1)^(2)`

y = 4(1)

y = 4

(1,4)

input 2 (x)

y =
`4x^(2)`

y =
`4(2)^(2)`

y = 4(4)

y = 16

(2,16)

input 3 (x)

y =
`4x^(2)`

y =
`4(3)^(2)`

y = 4(9)

y = 36

(3, 36)

input 4 (x)

y =
`4x^(2)`

y =
`4(4)^(2)`

y = 4(16)

y = 64

(4,64)