Exponential Functions and Compound Interest

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
2.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when the function increases over time, typically represented by a base greater than 1 (b > 1). Exponential decay occurs when the function decreases over time, represented by a base between 0 and 1 (0 < b < 1).
3.
FLASHCARD QUESTION
Front
What is the formula for compound interest?
Back
4.
FLASHCARD QUESTION
Front
What does the 'a-value' represent in an exponential function?
Back
5.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity. For exponential functions, it often represents the value that the function approaches but never reaches.
6.
FLASHCARD QUESTION
Front
How do you determine the rate of decay from a percentage loss?
Back
7.
FLASHCARD QUESTION
Front
What is the significance of the base 'b' in an exponential function?
Back
The base 'b' in an exponential function determines the rate of growth or decay. If b > 1, the function represents growth; if 0 < b < 1, it represents decay.
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