What is an exponential function?
Writing Exponential Functions

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function represents the growth (if greater than 1) or decay (if between 0 and 1) factor of the function.
3.
FLASHCARD QUESTION
Front
How do you write an exponential decay function?
Back
An exponential decay function can be written as f(x) = a(1 - r)^x, where 'r' is the decay rate.
4.
FLASHCARD QUESTION
Front
What is the decay rate in the function y = 15,000(0.92)^x?
Back
The decay rate is 8%, as 0.92 represents a decrease of 8% from the original value.
5.
FLASHCARD QUESTION
Front
How do you determine the growth rate from an exponential function?
Back
The growth rate can be determined from the base of the function. If the function is in the form f(x) = a(1 + r)^x, then 'r' is the growth rate.
6.
FLASHCARD QUESTION
Front
What does the equation f(x) = 300(1.06)^x represent?
Back
This equation represents an exponential growth function where the initial amount is 300 and it grows at a rate of 6% per time period.
7.
FLASHCARD QUESTION
Front
How can you model a situation where a quantity is halved each time period?
Back
You can model this situation with the function y = a(0.5)^x, where 'a' is the initial quantity.
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