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graphs of exponential functions

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An example of an exponential graph function has been attached and its' properties are as below.

How to draw the graph of an exponential function?

The general formula for exponential functions is: f(x) = aˣ, a > 0, a ≠ 1.

The reasons for the restrictions are because;

If a ≤ 0, then when you raise it to a rational power, you may not get a real number.

The graph of an exponential function y = 2ˣ is shown in the attached file. Here are some properties of the exponential function when the base is greater than 1.

  • The graph passes through the point (0,1)
  • The domain is all real numbers
  • The range is y>0.
  • The graph is increasing
  • The graph is asymptotic to the x-axis as x approaches negative infinity
  • The graph increases without bound as x approaches positive infinity
  • The graph is continuous
  • The graph is smooth

Read more about Exponential Function Graphs at; https://brainly.com/question/2456547

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