Graph the function

f(x)=25,000(0.80)^1

1 answer

The function you've provided, \( f(x) = 25,000(0.80)^1 \), is actually a constant value since \( 0.80^1 = 0.80 \). Therefore, we can simplify it as follows:

\[ f(x) = 25,000 \times 0.80 = 20,000 \]

This means that \( f(x) \) is always equal to 20,000, regardless of the value of \( x \).

To graph this function, you would draw a horizontal line at \( y = 20,000 \) across all values of \( x \).

Here’s a simple representation:

y
|
|                       ------------------------------
|                      |
|                      |
|                      |
|                      |
|
|____________________________ x

In this graph:

  • The horizontal line represents the function \( f(x) = 20,000 \).
  • It stretches across all values of \( x \), indicating that the output (y-value) is always 20,000.
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