Answer
These values come from an exponential function.
Work Step by Step
1. Graph all the points.
- Remember that $f(x)$ corresponds to the $y$ coordinate.
2. Connect all the points with line segments.
3. Analyze the drawing and pick the type of function that best fits on:
- If we look at the examples for exponential functions*, we will see that they are very similar to the plotted graph.
- Another way to know it is by the fact that $y$ is doubled every time $x$ increases by $1$, which is characteristic of exponential functions.
* $Table \space 1$ (At the end of Section 1.1)
