EXPONENTIAL FUNCTIONS Graphing And Analysis (Page 4 of 5)

We can graph the horizontal asymptote as well. The asymptote for this function is y = 3. Enter the asymptote as  a constant function Y2.

 Y= key.

 Down arrow key. 3 ENTER key.

 GRAPH key.

 Calculator screen image. Calculator screen image.

From the graph we can determine that the range of this function is all values of y less than 3, or (-infinity, 3) in interval notation. The function is decreasing on its entire domain, which is all real numbers.
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