To determine which ordered pair is not a solution of the function f(x) = 2x + 9, we can substitute the x and y values of each ordered pair into the function and see if the equation holds true.
Let's go through each option:
A. (0,9):
Substituting x = 0 and y = 9 into the function, we get:
f(0) = 2(0) + 9
f(0) = 0 + 9
f(0) = 9
Since f(0) = 9, the ordered pair (0,9) is a solution of the function.
B. (7, 23):
Substituting x = 7 and y = 23 into the function, we get:
f(7) = 2(7) + 9
f(7) = 14 + 9
f(7) = 23
Since f(7) = 23, the ordered pair (7, 23) is a solution of the function.
C. (3, 14):
Substituting x = 3 and y = 14 into the function, we get:
f(3) = 2(3) + 9
f(3) = 6 + 9
f(3) = 15
Since f(3) = 15, the ordered pair (3, 14) is a solution of the function.
D. (2, 13):
Substituting x = 2 and y = 13 into the function, we get:
f(2) = 2(2) + 9
f(2) = 4 + 9
f(2) = 13
Since f(2) = 13, the ordered pair (2, 13) is a solution of the function.
Therefore, all the given ordered pairs (A, B, C, D) are solutions of the function f(x) = 2x + 9.