What is the definition of the domain of a function?
Domain and Range Exponential Functions

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
2.
FLASHCARD QUESTION
Front
What is the definition of the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce.
3.
FLASHCARD QUESTION
Front
What is the domain of the exponential function y=2^x?
Back
The domain is all real numbers, represented as (-∞, ∞).
4.
FLASHCARD QUESTION
Front
What is the range of the exponential function y=2^x?
Back
The range is y > 0, meaning all positive real numbers.
5.
FLASHCARD QUESTION
Front
How does the graph of an exponential function behave as x approaches negative infinity?
Back
As x approaches negative infinity, the value of y approaches 0, but never reaches it (horizontal asymptote at y=0).
6.
FLASHCARD QUESTION
Front
What is an asymptote in the context of exponential functions?
Back
An asymptote is a line that a graph approaches but never touches or crosses. For exponential functions, the horizontal asymptote is typically y=0.
7.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form is y = a * b^x, where a is a constant, b is the base (b > 0), and x is the exponent.
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