Question
Which equation represents an exponential function that passes through the point
Ask by Collins Cruz. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct equation is
Solution
To determine which equation represents an exponential function that passes through the point
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- This is a polynomial function, not an exponential function.
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- This is also a polynomial function, not an exponential function.
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- This is an exponential function. Let’s check if it passes through
: - It does not pass through the point.
- This is an exponential function. Let’s check if it passes through
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- This is an exponential function. Let’s check if it passes through
: - It does pass through the point
.
- It does pass through the point
- This is an exponential function. Let’s check if it passes through
Therefore, the correct equation is:
Answer:
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To identify the exponential function that passes through the point
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For
: -
For
:
The equation
Throughout history, exponential functions have helped in modeling various phenomena like population growth and radioactivity decay. Mathematician Jacob Bernoulli was one of the first to study compound interest scenarios, leading to the natural logarithm, which is a key to understanding growth rates.
In real-world applications, exponential functions are everywhere! From calculating compound interest in finance, to measuring the spread of diseases in epidemiology, these functions provide insights into predictability and the potential for dramatic growth or decline. Always check your initial values and consider the context of the problem to avoid common pitfalls!
