
Properties of the Exponential Function
Flashcard
•
Mathematics
•
University
•
Practice Problem
•
Hard
Jareen Tasneem
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10 questions
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1.
FLASHCARD QUESTION
Front
What is the domain of the exponential function f(x) = a^x?
Back
The domain is the interval (-∞, ∞).
2.
FLASHCARD QUESTION
Front
What is the range of the exponential function f(x) = a^x?
Back
The range is the interval (0, ∞).
3.
FLASHCARD QUESTION
Front
What are the x-intercepts of the exponential function f(x) = a^x?
Back
There are none.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of the exponential function f(x) = a^x?
Back
The y-intercept is 1.
5.
FLASHCARD QUESTION
Front
What is the horizontal asymptote of the exponential function f(x) = a^x as x approaches negative infinity?
Back
The horizontal asymptote is the x-axis (y = 0).
6.
FLASHCARD QUESTION
Front
Is the exponential function f(x) = a^x increasing or decreasing?
Back
It is increasing for a > 1 and decreasing for 0 < a < 1.
7.
FLASHCARD QUESTION
Front
What characteristics does the exponential function f(x) = a^x have?
Back
It is one-to-one, smooth, and continuous.
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