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

Question

Maribel Carson

Mathematics

17 January, 08:34

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

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Mitzi · 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.