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What is the domain for an exponential function?
O(-m, 10 pts
What is the domain for an exponential function?
O(-m, 10 pts
Ask by Wood Patel. in the United States
Mar 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The domain of an exponential function is all real numbers,
.
Solution
- An exponential function is generally given by
, where and . - The input
can be any real number, meaning there are no restrictions on . - Therefore, the domain of an exponential function is
.
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Extra Insights
Exponential functions, like
, where
, are defined for all real numbers. That means no matter how big or small your input, the function will always crank out an output. So, you can confidently say the domain is from negative infinity to positive infinity!
In practical terms, this characteristic makes exponential functions incredibly versatile! You can model everything from population growth to radioactive decay because no matter the situation, you can always plug in a real number and get a result. Isn’t that neat?