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ANTONII [103]
2 years ago
8

Look at the pic and show your work

Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

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:

  1. Evaluate the function at every x-value.
  2. Fill the blanks on table.
  3. Mark the <em>rectangular</em> points (x, y) on the <em>Cartesian</em> plane.
  4. 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

#SPJ1

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