Question

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

Answer 1

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.