The problem asks us to graph the function $y = 4(5)^x$ by plotting two points.

AlgebraExponential FunctionsGraphingFunction Evaluation
2025/6/5

1. Problem Description

The problem asks us to graph the function y=4(5)xy = 4(5)^x by plotting two points.

2. Solution Steps

To graph the function y=4(5)xy = 4(5)^x, we need to find two points that lie on the curve. We can choose any two values for xx and then calculate the corresponding values for yy.
Let's choose x=0x = 0 and x=1x = 1.
When x=0x = 0:
y=4(5)0y = 4(5)^0
Since any number raised to the power of 0 is 1, we have:
y=4(1)y = 4(1)
y=4y = 4
So, the first point is (0,4)(0, 4).
When x=1x = 1:
y=4(5)1y = 4(5)^1
y=4(5)y = 4(5)
y=20y = 20
So, the second point is (1,20)(1, 20).
Therefore, we have two points: (0,4)(0, 4) and (1,20)(1, 20).

3. Final Answer

The two points to graph the function y=4(5)xy = 4(5)^x are (0,4)(0, 4) and (1,20)(1, 20).

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