Answer: f(3.5) = 58.20
Step-by-step explanation:
Wow...what degree of exponent are we to assume?
I'll go with 2 as we are only given two exemplars.
f(x) = x² + Ax + B
f(- 2.5) = 9 = (-2.5)² + (-2.5)A + B
f(2.5) = 45 = (2.5)² + (2.5)A + B
we can subtract the first equation from the second
45 - 9 = 2.5² - (-2.5)² + 2.5A - (-2.5A) + B - B
36 = 5A
A = 7.2
45 = (2.5)² + (2.5)7.2 + B
B = 20.75
F(3.5) = 3.5² + 7.2(3.5) + 20.75 = 58.2
