What is an exponential function?
Exponential growth

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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 a positive real number, and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when a quantity increases at a consistent percentage rate over time, while exponential decay occurs when a quantity decreases at a consistent percentage rate.
3.
FLASHCARD QUESTION
Front
What does the variable 'a' represent in the exponential function y = a(1 + r)^x?
Back
The variable 'a' represents the initial amount or starting value before growth or decay occurs.
4.
FLASHCARD QUESTION
Front
If a population of bacteria doubles every hour, what type of growth is this?
Back
This is an example of exponential growth.
5.
FLASHCARD QUESTION
Front
Write the equation for exponential decay if a quantity decreases by 20% each period.
Back
y = a(0.8)^x, where 'a' is the initial amount.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating exponential growth?
Back
The formula is y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time period.
7.
FLASHCARD QUESTION
Front
What does the base 'b' in an exponential function indicate?
Back
The base 'b' indicates the growth factor; if b > 1, it represents growth, and if 0 < b < 1, it represents decay.
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