Characteristics of Exponential Functions
Flashcard
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Mathematics
•
9th Grade
•
Hard
+2
Standards-aligned
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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 general shape of the graph of an exponential function?
Back
The graph of an exponential function increases rapidly for positive values of x and approaches the horizontal asymptote for negative values of x.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
What is the domain of an exponential function?
Back
The domain of an exponential function is all real numbers, expressed as (-∞, ∞).
4.
FLASHCARD QUESTION
Front
What is the range of an exponential function?
Back
The range of an exponential function is all real numbers greater than zero, expressed as (0, ∞) for functions of the form f(x) = a * b^x where a > 0.
5.
FLASHCARD QUESTION
Front
What is an asymptote in the context of exponential functions?
Back
An asymptote is a line that the graph of a function approaches but never touches. For exponential functions, the horizontal asymptote is typically y = 0.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the x-intercept of an exponential function?
Back
Exponential functions do not have an x-intercept because they never cross the x-axis; they only approach it.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What happens to the value of an exponential function as x approaches negative infinity?
Back
As x approaches negative infinity, the value of an exponential function approaches zero.
Tags
CCSS.HSF-IF.C.7E
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