If y = 9x − 7, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (5 points)
{(0, −7), (1, 2), (−1, −16)}
{(−7, 0), (2, 1), (−16, −1)}
{(1, 9), (2, 7), (3, 16)}
{(7, 9), (8, 10), (9, 11)}
To determine which of the sets represents inputs and outputs of the function, we can substitute the x-values in each ordered pair into the expression for y and see if it matches the corresponding y-value.
For the first set: {(0, −7), (1, 2), (−1, −16)}
Substituting x = 0 into the expression for y gives:
y = 9(0) - 7 = -7
This matches the y-value of -7 in the first ordered pair, so (0, −7) is a possible input and output pair of the function.
Substituting x = 1 into the expression for y gives:
y = 9(1) - 7 = 2
This matches the y-value of 2 in the second ordered pair, so (1, 2) is a possible input and output pair of the function.
Substituting x = -1 into the expression for y gives:
y = 9(-1) - 7 = -16
This matches the y-value of -16 in the third ordered pair, so (-1, -16) is a possible input and output pair of the function.
Therefore, the first set: {(0, −7), (1, 2), (−1, −16)} represents possible inputs and outputs of the function.
In contrast, the other sets do not match the values of y when substituting the given x-values into the expression for y, so they do not represent possible inputs and outputs of the function.