Answer:
Set B
Step-by-step explanation:
An exponential function is a function of the form f(x) = ab^x, where a and b are constants. In other words, an exponential function is a function in which the independent variable appears as an exponent.
To determine which set of ordered pairs satisfies an exponential function, we need to check if the ratio of the y-coordinates for any two pairs of points is constant and equal to the base of the exponential function. That is, we need to check if y2/y1 = b^(x2-x1) for any two pairs of points (x1, y1) and (x2, y2). If this condition holds for all pairs of points, then the set of ordered pairs satisfies an exponential function.
Using this criterion, we can check each set of ordered pairs:
Set A: (-4, y), (0, y): There is not enough information to determine if this set satisfies an exponential function.
Set B: (4, 81), (3, 27), (2, 9), (1, 1): The ratio of the y-coordinates for any two pairs of points is constant and equal to 3, which is the base of the exponential function. Therefore, this set satisfies an exponential function.
Set C: (4, 64), (3, 27), (2, 8), (1, 1): The ratio of the y-coordinates for any two pairs of points is not constant. Therefore, this set does not satisfy an exponential function.
Set D: (4, 4), (3, 2), (2, 0), (1, -2): The ratio of the y-coordinates for any two pairs of points is not constant. Therefore, this set does not satisfy an exponential function.
Based on this analysis, the set of ordered pairs that satisfies an exponential function is Set B: (4, 81), (3, 27), (2, 9), (1, 1).