f(x) = -2x + 1 works with (-1, 3)
f(x) = -2x^2 - 4x + 1 works with (0,1)
f(x) = 2sqrt(x + 2) + 1 works with (2, 5)
In order to find each of these, you need to try the ordered pairs in the equation and look for them to come out as true statements. Below is the work of trying each one.
(-1, 3)
f(x) = -2x + 1
3 = -2(-1) + 1
3 = 2 + 1
3 = 3 (TRUE)
(0,1)
f(x) = -2x^2 - 4x + 1
1 = -2(0)^2 - 4(0) + 1
1 = 0 + 0 + 1
1 = 1 (TRUE)
(2, 5)
f(x) = 2sqrt(x + 2) + 1
5 = 2sqrt(2 + 2) + 1
5 = 2sqrt(4) + 1
5 = 2(2) + 1
5 = 4 + 1
5 = 5 (TRUE)
