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1. ** Why does the graph of the exponential function y = 2^x approach the x axis, but never actually touch the x axis?

User Ryan
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We are given the following exponential function


y=2^x

Let us have a look at the graph of this exponential function

From the graph, it might look that the graph is touching the x-axis but in reality, it does not.

The graph keeps on increasing as x gets larger and larger.

On the other hand, the graph keeps on decreasing as x gets smaller and smaller, but it never becomes equal to 0

This is known as "horizontal asymptote"

A horizontal asymptote is a horizontal line that the graph is trying to approach but it never actually touches it.

Therefore, the graph of the exponential function approaches the x-axis, but never actually touches the x-axis since it is a horizontal asymptote.

1. ** Why does the graph of the exponential function y = 2^x approach the x axis, but-example-1
User Sourabh Somani
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