Question

Choose the function that represents the data in the table.

x= 0 1 2 3 4 5
f(x) = -3 -1 1 3 5 7


f(x) = 2x – 3
f(x) = x2 – 3
f(x) = 2x2 – 3

Answer 1

f(x) = 2x − 3

Reason: f(0) = −3 gives the y-intercept −3, and outputs increase by 2 each time, so slope = 2. Check: 2x−3 yields −3, −1, 1, 3, 5, 7 for x = 0,1,2,3,4,5.