We kindly invite to check the image attached below to see the representation of the <em>exponential</em> function. This function shows <em>exponential</em> growth.
<h3>How to graph exponential functions</h3>
In this occasion we must plot the graph of <em>exponential</em> functions of the form:
y = a · bˣ (1)
Where:
- a - Initial value
- b - Base of the function
- x - Independent value
- y - Dependent value
First, we need to follow this procedure to create the graph of the curve on <em>Cartesian</em> plane:
- Evaluate the function at every x-value.
- Fill the blanks on table.
- Mark the <em>rectangular</em> points (x, y) on the <em>Cartesian</em> plane.
- Match the points.
Therefore, we build the <em>exponential</em> curve with the help of a <em>graphing</em> tool (i.e. Desmos), whose result is shown in the image attached below.
From (1) we must understand that <em>exponential</em> functions report growth for b > 1 and decay for 0 < b < 1. Thus, the <em>exponential</em> function y = 3ˣ shows <em>exponential</em> growth according to graphical and analytical findings.
To learn more on exponential functions: brainly.com/question/11487261
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