
Characteristics of Exponential Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
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.
2.
FLASHCARD QUESTION
Front
What is the general shape of an exponential growth function?
Back
The graph of an exponential growth function rises rapidly as x increases, starting from a low value and approaching infinity.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
What is the general shape of an exponential decay function?
Back
The graph of an exponential decay function decreases rapidly as x increases, approaching zero but never touching the x-axis.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find the horizontal asymptote of an exponential function?
Back
For exponential growth functions, the horizontal asymptote is typically y=0. For exponential decay functions, it is also y=0.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What does it mean if a function has a horizontal asymptote at y=3?
Back
It means that as x approaches infinity or negative infinity, the value of the function approaches 3.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What is the domain of an exponential function?
Back
The domain of an exponential function is all real numbers, represented as (-∞, ∞).
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