Question

What is the domain of this exponential function?
0, 1; 1, 2; 2, 4; 3, 8

Answer 1

the numbers I put were the points on the graph

Answer 2

To identify the domain of the given exponential function based on the provided points, we look at the x-values of the points:

- (0, 1)
- (1, 2)
- (2, 4)
- (3, 8)

The x-values are 0, 1, 2, and 3. Thus, the domain of the function includes these x-values.

Therefore, the domain of the function can be expressed as:
\[
\{0, 1, 2, 3\}
\]

If we consider the function as a defined set of points, then the domain is simply these specific values. If the function were to be expressed in a continuous manner (which is not suggested by discrete points given), we would need additional information to determine if it could extend beyond these points. However, based on the information provided, the domain is limited to these discrete points.

Answer 3

Thank you for the clarification that the numbers you provided represent points on the graph. It seems these points are \((0, 1)\), \((1, 2)\), \((2, 4)\), and \((3, 8)\) on the Cartesian plane, which indicate an exponential function.

Since the x-values represent the input of the function, the domain of the function consists of all the x-values from these points. Specifically, the x-values are:

- 0
- 1
- 2
- 3

Thus, the domain of the exponential function represented by the given points can be expressed as:

\[
\{0, 1, 2, 3\}
\]

If you are looking for a broader understanding of the potential domain of an exponential function in general, remember that exponential functions can typically accept any real number as input, so they usually have the domain of all real numbers \((-\infty, \infty)\). However, based on the specific points you've provided, the domain is limited to the discrete values mentioned above.