Exponential Growth and Decay
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
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. It shows rapid growth or decay.
2.
FLASHCARD QUESTION
Front
What is exponential growth?
Back
Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase.
3.
FLASHCARD QUESTION
Front
What is exponential decay?
Back
Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease.
4.
FLASHCARD QUESTION
Front
How do you identify an exponential growth function?
Back
An exponential growth function has a base greater than 1 in the expression f(x) = a(b)^x.
5.
FLASHCARD QUESTION
Front
How do you identify an exponential decay function?
Back
An exponential decay function has a base between 0 and 1 in the expression f(x) = a(b)^x.
6.
FLASHCARD QUESTION
Front
What does the base in an exponential function represent?
Back
The base in an exponential function represents the growth or decay factor. If the base is greater than 1, it indicates growth; if it is between 0 and 1, it indicates decay.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating the future value of an investment with exponential growth?
Back
The formula is A = P(1 + r)^t, where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, and t is the time in years.
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