Ask a New Question
Menu

Graph this function.

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

1 answer

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!