Answer:
A = 2; B = 3; C = -3
Explanation:
The curve goes to negative infinity as x decreases and positive infinity as x increases.
This looks like a 3rd degree polynomial.
f(0) = -3
f(x) = Ax^B + x + C
f(0) = A(0^B) + 0 + C = -3
C = -3
f(x) = Ax^B + x - 3
f(1) = A(1^B) + 1 - 3 = 0
A - 2 = 0
A = 2
f(x) = 2x^B + x - 3
f(1.125) = 2(1.125)^B + 1.125 - 3 = 1
2(1.125)^B + 1.125 - 3 = 1
2(1.125)^B = 2.875
(1.125)^B = 1.4375
log (1.125)^B = log 1.4375
B × log (1.125) = log 1.4375
B = (log 1.4375)/(log 1.125)
B = 3
f(x) = 2x^B + x - 3
Answer: A = 2; B = 3; C = -3