Question

Graph this function.
y=2(8)^x
Plot two points to graph the function.

Answer 1

To graph the function \( y = 2(8)^x \), we can calculate two points by selecting different values for \( x \):

1. **Choose \( x = 0 \)**:
\[
y = 2(8)^0 = 2(1) = 2
\]
So the point is \( (0, 2) \).

2. **Choose \( x = 1 \)**:
\[
y = 2(8)^1 = 2(8) = 16
\]
So the point is \( (1, 16) \).

Now we have two points to plot:
1. \( (0, 2) \)
2. \( (1, 16) \)

### Summary of Points:
- Point 1: \( (0, 2) \)
- Point 2: \( (1, 16) \)

To graph the function, plot these two points on a coordinate plane, and since the function \( y = 2(8)^x \) is an exponential function, you can draw a curve that increases rapidly as \( x \) increases.

### Visualization:
- At \( x = 0 \), the graph starts at \( y = 2 \).
- At \( x = 1 \), it goes up to \( y = 16 \).

If you would like to see additional points or a more detailed graph, feel free to ask!