Question

Write a function to represent the set of ordered pairs. {(2, 6), (3, 21), (4, 42), (5, 69)} a) f(x) = 3x b) f(x) = x + 4 c) f(x) = x3 - 2 d) f(x) = 3x2 - 6

Answer 1

We are given order pairs : (2, 6), (3, 21), (4, 42), (5, 69)

The correct option is  D) f(x) = 3x^2 - 6.

If we plug x=2 we get

f(2) = 3(2)^2 - 6 = 3(4) -6 = 12-6 =6.   Represents (2,6)

If we plug x=3 we get

f(3) = 3(3)^2 - 6 = 3(9) -6 = 27-6 =21    Represents (4,21)

If we plug x=4 we get

f(4) = 3(4)^2 - 6 = 3(16) -6 = 48-6 =42.    Represents (4,42)

If we plug x=5 we get

f(5) = 3(5)^2 - 6 = 3(25) -6 = 75-6 =69.   Represents (5,69)

Therefore, D ) f(x) = 3x^2 - 6 is our correct option.