Question

Graph this function.
y=8^x
Plot two points to graph the function.

Answer 1

To graph the function \( y = 8^x \), we can calculate the values of \( y \) for a couple of values of \( x \).

Let's choose two points:

1. For \( x = 0 \):
\[
y = 8^0 = 1
\]
So, one point is \( (0, 1) \).

2. For \( x = 1 \):
\[
y = 8^1 = 8
\]
So, another point is \( (1, 8) \).

Now we have two points to plot:
- Point 1: \( (0, 1) \)
- Point 2: \( (1, 8) \)

### Plotting

1. On a coordinate plane, mark the point \( (0, 1) \). This is where the curve intersects the y-axis.
2. Mark the point \( (1, 8) \), which is one unit to the right and up to 8.

### Behavior of the Function

The function \( y = 8^x \) is an exponential function, which means it increases rapidly as \( x \) increases. As \( x \) approaches negative values, the value of \( y \) approaches zero but never actually reaches it. This means the curve approaches the x-axis as \( x \) decreases.

### Summary

- The points to graph are \( (0, 1) \) and \( (1, 8) \).
- The graph will rise rapidly as \( x \) increases and approach the x-axis as \( x \) decreases.