We are asked to graph the exponential function $y = 5(4)^x$ by plotting two points.

AlgebraExponential FunctionsGraphingFunction Evaluation
2025/6/5

1. Problem Description

We are asked to graph the exponential function y=5(4)xy = 5(4)^x by plotting two points.

2. Solution Steps

To graph the function y=5(4)xy = 5(4)^x, we need to find two points on the graph. We can choose two values for xx and then calculate the corresponding yy values.
Let's choose x=0x=0 and x=1x=1.
When x=0x = 0:
y=5(4)0y = 5(4)^0
Since any non-zero number raised to the power of 0 is 1, we have 40=14^0 = 1.
y=5(1)=5y = 5(1) = 5
So, the first point is (0,5)(0, 5).
When x=1x = 1:
y=5(4)1y = 5(4)^1
y=5(4)=20y = 5(4) = 20
So, the second point is (1,20)(1, 20).

3. Final Answer

The two points to plot are (0,5)(0, 5) and (1,20)(1, 20).