We kindly invite to check the image attached below to see the representation of the exponential function. This function shows exponential growth.
How to graph exponential functions
In this occasion we must plot the graph of exponential 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 Cartesian plane:
- Evaluate the function at every x-value.
- Fill the blanks on table.
- Mark the rectangular points (x, y) on the Cartesian plane.
- Match the points.
Therefore, we build the exponential curve with the help of a graphing tool (i.e. Desmos), whose result is shown in the image attached below.
From (1) we must understand that exponential functions report growth for b > 1 and decay for 0 < b < 1. Thus, the exponential function y = 3ˣ shows exponential growth according to graphical and analytical findings.
To learn more on exponential functions: https://brainly.com/question/11487261
#SPJ1
