Which set of ordered pairs could be generated by an exponential function?

Step 1: Define the Problem

Identify which set of ordered pairs can be represented by an exponential function. An exponential function has the form $y = a \cdot b^x$, where $a \neq 0$, $b > 0$, and $b \neq 1$.

Step 2: Break Down the Problem

1. Understand the characteristics of exponential functions.
2. Analyze each set of ordered pairs to see if they fit the form of an exponential function.

Step 3: Apply Relevant Concepts

• Exponential functions have a constant ratio between consecutive $y$-values when the $x$-values increase by a constant amount.
• Check if the ratio $\frac{y_2}{y_1} = \frac{y_3}{y_2} = \ldots$ holds for each set of ordered pairs.

Step 4: Analysis, Verify and Summarize

1. For each set of ordered pairs, calculate the ratio of consecutive $y$-values.
2. Verify if the ratio is constant across the pairs.

Final Answer

The set of ordered pairs that maintains a constant ratio between consecutive $y$-values corresponds to an exponential function.