Exponential Functions
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+2
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 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 does exponential growth mean?
Back
Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, leading to 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
What is the y-intercept of an exponential function?
Back
The y-intercept is the value of the function when x = 0, representing the initial amount before any growth or decay occurs.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
How can you identify exponential growth on a graph?
Back
Exponential growth is identified by a curve that rises steeply as x increases, indicating that the quantity is increasing rapidly.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How can you identify exponential decay on a graph?
Back
Exponential decay is identified by a curve that falls steeply as x increases, indicating that the quantity is decreasing rapidly.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.
Tags
CCSS.HSF-IF.C.8B
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