complete the input-output table for the function f(x)=(x-2)^2+3
x f(x)
1 f(1)=?
2 f(2)=?
3 f(3)=?
4 f(4)=?
To complete the table for the function f(x) = (x-2)^2 + 3, we need to plug in the given values of x into the function and solve for f(x).
x f(x)
1 f(1) = (1-2)^2 + 3 = (-1)^2 + 3 = 1 + 3 = 4
2 f(2) = (2-2)^2 + 3 = (0)^2 + 3 = 0 + 3 = 3
3 f(3) = (3-2)^2 + 3 = (1)^2 + 3 = 1 + 3 = 4
4 f(4) = (4-2)^2 + 3 = (2)^2 + 3 = 4 + 3 = 7
Therefore, the completed table is:
x f(x)
1 4
2 3
3 4
4 7