Question

Write a function to represent the set of ordered pairs. {(2, -2), (3, 8), (4, 22), (5, 40)} A) f(x) = -x B) f(x) = x - 4 C) f(x) = x2 - 6 D) f(x) = 2x2 - 10

Answer 1

Answer:

The correct answer is option D. f(x) = 2x2 - 10

Step-by-step explanation:

The ordered pairs are: (2, -2), (3, 8), (4, 22), (5, 40)

And the function is f(x) = 2x2 - 10.

for the ordered pair: (2, -2)

                     f(x) = 2× $2^{2}$ - 10 = -2 (satisfied)

for the ordered pair: (3, 8)

                     f(x) = 2 × $3^{2}$ - 10 = 8 (satisfied)

for the ordered pair: (4, 22)

                     f(x) = 2× $4^{2}$ - 10 = 22 (satisfied)

for the ordered pair: (5, 40)

                     f(x) = 2 × $5^{2}$ -10 = 40 (satisfied)    

Thus we can conclude option D as correct answer