How do you tell if ordered pairs satisfy an exponential function?

Answer 1

To determine if ordered pairs satisfy an exponential function, you can check if they follow the form (y = ab^x), where (a) is a constant, (b) is the base (a positive number), and (x) is the independent variable. For each pair ((x, y)), calculate (b) by rearranging the equation as (b = \frac{y}{a}) for a given (x) and (y). If the ratio of (y) values corresponding to successive (x) values remains constant, the pairs likely satisfy an exponential function. Additionally, plotting the points should show a characteristic exponential curve.