Graph the Exponential Function f(x)=1(1/5)xf(x)=1(1/5)x by plotting the Vertical Intercept and one other point. Then write the Vertical Intercept as an ordered pair.

The vertical intercept of the function \( f(x) = \left(\frac{1}{5}\right)^x \) is at the ordered pair \( (0, 1) \).

Another point on the graph is \( (1, 0.2) \).

Do you have any questions or need further details? Here are five related questions to consider:
1. What is the behavior of the function as \( x \to \infty \) and \( x \to -\infty \)?
2. How does the base \( \frac{1}{5} \) affect the shape of the exponential graph?
3. What happens to the vertical intercept if the base changes?
4. How can you identify the asymptote of this exponential function?
5. How would the graph change if you multiplied the function by a constant factor?

**Tip:** The vertical intercept of an exponential function is always at \( (0, a) \) where \( a \) is the coefficient in front of the base.

Graph the Exponential Function f(x)=1(1/5)^x by plotting the Vertical Intercept and one other point. Then write the Vertical Intercept as an ordered pair.

Learn how to graph the exponential function f(x) = (1/5)^x by identifying the vertical intercept and plotting another point. This problem introduces the concept of exponential decay and graphing key points on an exponential curve. Suitable for students in Grades 9-12.

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