Math Problem Statement
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.
Solution
The vertical intercept of the function is at the ordered pair .
Another point on the graph is .
Do you have any questions or need further details? Here are five related questions to consider:
- What is the behavior of the function as and ?
- How does the base affect the shape of the exponential graph?
- What happens to the vertical intercept if the base changes?
- How can you identify the asymptote of this exponential function?
- 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 where is the coefficient in front of the base.
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Graphing
Formulas
f(x) = (1/5)^x
Theorems
Exponential Decay
Suitable Grade Level
Grades 9-12
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