Exponential Growth vs Decay
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
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 that can be represented by the function f(x) = a(1 + r)^x, where 'a' is the initial amount and 'r' is the growth rate.
Tags
CCSS.HSF-LE.A.1A
2.
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 that can be represented by the function f(x) = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How can you identify exponential growth on a graph?
Back
Exponential growth is identified on a graph as a curve that rises steeply to the right, indicating that the quantity increases rapidly as the independent variable increases.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
How can you identify exponential decay on a graph?
Back
Exponential decay is identified on a graph as a curve that falls steeply to the right, indicating that the quantity decreases rapidly as the independent variable increases.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form of an exponential function is f(x) = a * b^x, where 'a' is a constant, 'b' is the base (b > 0), and 'x' is the exponent.
6.
FLASHCARD QUESTION
Front
What is the difference between linear and exponential functions?
Back
Linear functions increase or decrease by a constant amount, resulting in a straight line, while exponential functions increase or decrease by a constant percentage, resulting in a curve.
7.
FLASHCARD QUESTION
Front
What does the base 'b' represent in an exponential function?
Back
In an exponential function f(x) = a * b^x, the base 'b' represents the growth (b > 1) or decay (0 < b < 1) factor of the function.
Tags
CCSS.HSF-IF.C.8B
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