Exponential Functions

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•
Mathematics
•
8th Grade
•
Medium
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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 the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form of an exponential growth function is f(x) = a(b^x) where b > 1.
3.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay function?
Back
The general form of an exponential decay function is f(x) = a(b^x) where 0 < b < 1.
4.
FLASHCARD QUESTION
Front
What does the base 'b' represent in an exponential function?
Back
The base 'b' represents the growth (if b > 1) or decay (if 0 < b < 1) factor of the function.
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
What is the common ratio in an exponential function?
Back
The common ratio is the factor by which the function's value multiplies for each unit increase in 'x'.
6.
FLASHCARD QUESTION
Front
Identify the common ratio in f(x) = 2(4^x).
Back
The common ratio is 4.
7.
FLASHCARD QUESTION
Front
Identify the common ratio in the sequence 3, 15, 75...
Back
The common ratio is 5.
Tags
CCSS.HSF.BF.A.2
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