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Wednesday 30th of November
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 Dependent Variable

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# Graphing Exponential Functions

Example

Graph

Solution

Step 1 Make a table of ordered pairs.

We will let x be integers from -3 through 3.

Note:

Recall this useful property of negative exponents:

Thus,

Step 2 Plot the ordered pairs.

See the graph.

Step 3 Sketch a smooth curve through the plotted points.

The smooth curve represents all the ordered pairs that satisfy

The x-axis acts as a horizontal asymptote for This is because as the values of x approach positive infinity, +, the values of approach 0, but never reach 0.