Identifying Functions: A function means each input x-value has only one output y-value. Let's check the first set: {(4,9),(0,−2),(0,2),(5,4)}. The input 0 has two different outputs, −2 and 2, so this set is not a function.
Checking First Set: Now, let's check the second set: {(5,−5),(5,−4),(7,−2),(3,8)}. The input 5 has two different outputs, −5 and −4, so this set is also not a function.
Checking Second Set: Next, we check the third set: \{ (4, 3), (8, 0), (5, 2), (\-5, 0) \} . Each input has a unique output, so this set is a function.
Checking Third Set: Let's check the fourth set: {(6,9),(9,−4),(6,1),(−5,11)}. The input 6 has two different outputs, 9 and 1, so this set is not a function.
Checking Fourth Set: Finally, we check the fifth set: {(4,12),(2,6),(−5,6),(3,−2)}. Each input has a unique output, so this set is a function.
More problems from Is (x, y) a solution to the system of equations?