The problem asks to graph the exponential function $y = 3(1.5)^x$ by plotting two points on the given coordinate plane.

AlgebraExponential FunctionsGraphingCoordinate Geometry
2025/6/5

1. Problem Description

The problem asks to graph the exponential function y=3(1.5)xy = 3(1.5)^x by plotting two points on the given coordinate plane.

2. Solution Steps

To graph the function, we need to find two points that lie on the curve. We can choose any two values for xx and calculate the corresponding yy values.
Let's choose x=0x=0:
y=3(1.5)0=3(1)=3y = 3(1.5)^0 = 3(1) = 3.
So, the point (0,3)(0, 3) is on the graph.
Let's choose x=1x=1:
y=3(1.5)1=3(1.5)=4.5y = 3(1.5)^1 = 3(1.5) = 4.5.
So, the point (1,4.5)(1, 4.5) is on the graph.

3. Final Answer

The two points to plot are (0,3)(0, 3) and (1,4.5)(1, 4.5).

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