
Key Features of Exponential Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 the base (a positive real number), and 'x' is the exponent.
2.
FLASHCARD QUESTION
Front
What is the initial value in the function y = 6.87(4)^x?
Back
The initial value is 6.87.
Tags
CCSS.HSF.LE.B.5
3.
FLASHCARD QUESTION
Front
How can you identify if a function is exponential?
Back
A function is exponential if it can be expressed in the form f(x) = a * b^x, where 'b' is a constant greater than 0 and not equal to 1.
4.
FLASHCARD QUESTION
Front
What is the range of an exponential function?
Back
The range of an exponential function is y > 0.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when the function increases rapidly as 'x' increases, typically represented by a base 'b' greater than 1.
Tags
CCSS.HSF-IF.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when the function decreases rapidly as 'x' increases, typically represented by a base 'b' between 0 and 1.
Tags
CCSS.HSF-IF.C.8B
7.
FLASHCARD QUESTION
Front
How do you write an exponential function from a table of values?
Back
To write an exponential function from a table, identify the initial value and the growth/decay factor, then express it in the form f(x) = a * b^x.
Tags
CCSS.HSF.LE.A.2
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