Exponential and Log Flashcard Review

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form of an exponential function is y = a * b^x, where a is a constant, b is the base (b > 0, b ≠ 1), and x is the exponent.
2.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential growth?
Back
Exponential growth occurs when a quantity increases by a constant percentage over a period of time, represented by a function of the form y = a * b^x where b > 1.
3.
FLASHCARD QUESTION
Front
What does it mean for a function to exhibit exponential decay?
Back
Exponential decay occurs when a quantity decreases by a constant percentage over a period of time, represented by a function of the form y = a * b^x where 0 < b < 1.
4.
FLASHCARD QUESTION
Front
How do you convert a logarithmic equation to its exponential form?
Back
To convert log_b(a) = c to exponential form, use the equation b^c = a.
5.
FLASHCARD QUESTION
Front
What is the domain of the function y = log_b(x)?
Back
The domain of y = log_b(x) is x > 0, meaning the input must be positive.
6.
FLASHCARD QUESTION
Front
What is the range of the function y = log_b(x)?
Back
The range of y = log_b(x) is all real numbers (-∞, ∞).
7.
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 ±∞.
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