Exponential Functions - WORD PROBLEMS
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 y = a(b^x), where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent. It represents growth or decay processes.
2.
FLASHCARD QUESTION
Front
What does exponential growth mean?
Back
Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
What does exponential decay mean?
Back
Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you identify exponential growth from a graph?
Back
Exponential growth graphs rise sharply and curve upwards, indicating that the rate of increase accelerates over time.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
How do you identify exponential decay from a graph?
Back
Exponential decay graphs fall sharply and curve downwards, indicating that the rate of decrease accelerates over time.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the general form of an exponential decay equation?
Back
The general form is y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth equation?
Back
The general form is y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.
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