The problem is to graph the exponential function $y = 0.5(6)^x$. We need to plot two points to graph the function.

AlgebraExponential FunctionsGraphingFunction Evaluation
2025/6/5

1. Problem Description

The problem is to graph the exponential function y=0.5(6)xy = 0.5(6)^x. We need to plot two points to graph the function.

2. Solution Steps

First, we choose two values for xx and find the corresponding values of yy. Let's choose x=0x=0 and x=1x=1.
When x=0x=0, we have:
y=0.5(6)0y = 0.5(6)^0
Since any non-zero number raised to the power of 0 is 1:
y=0.5(1)=0.5y = 0.5(1) = 0.5
So the first point is (0,0.5)(0, 0.5).
When x=1x=1, we have:
y=0.5(6)1y = 0.5(6)^1
y=0.5(6)=3y = 0.5(6) = 3
So the second point is (1,3)(1, 3).

3. Final Answer

The two points to plot are (0,0.5)(0, 0.5) and (1,3)(1, 3).