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Graph this function.

y=1.5(4)^x
Plot two points to graph the function.

1 answer

To graph the function \( y = 1.5(4)^x \), we can choose two values of \( x \) to calculate their corresponding \( y \) values.

Let's calculate \( y \) for two different values of \( x \):

  1. For \( x = 0 \): \[ y = 1.5(4)^0 = 1.5(1) = 1.5 \] This gives us the point \( (0, 1.5) \).

  2. For \( x = 1 \): \[ y = 1.5(4)^1 = 1.5(4) = 6 \] This gives us the point \( (1, 6) \).

Now we have two points to plot:

  • Point 1: \( (0, 1.5) \)
  • Point 2: \( (1, 6) \)

To graph the function, simply plot these points on a coordinate plane and draw a curve that rises steeply, as the function \( y = 1.5(4)^x \) is an exponential growth function.

Here's a summary of the points:

  • \( (0, 1.5) \)
  • \( (1, 6) \)

Graphing Steps:

  1. Draw the x-axis and y-axis.
  2. Plot the point \( (0, 1.5) \) on the graph.
  3. Plot the point \( (1, 6) \).
  4. Connect the points with a curve that reflects the exponential growth of the function.

If you have graphing software or a tool, you can also enter the equation directly to see the complete graph.