Practice: Intro to Log Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a logarithmic function?
Back
A logarithmic function is the inverse of an exponential function, typically written as y = log_b(x), where b is the base.
2.
FLASHCARD QUESTION
Front
What is the base of a logarithm?
Back
The base of a logarithm is the number that is raised to a power to obtain a given number. For example, in log_b(x), b is the base.
Tags
CCSS.HSF.BF.B.5
3.
FLASHCARD QUESTION
Front
What is the domain of log(x)?
Back
The domain of log(x) is (0, ∞), meaning it only accepts positive real numbers.
4.
FLASHCARD QUESTION
Front
What is the range of log(x)?
Back
The range of log(x) is (-∞, ∞), meaning it can take any real number value.
5.
FLASHCARD QUESTION
Front
What is the vertical asymptote of y = log_b(x)?
Back
The vertical asymptote of y = log_b(x) is x = 0.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What happens to the value of log(x) as x approaches 0 from the right?
Back
As x approaches 0 from the right, log(x) approaches -∞.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the value of log_b(1)?
Back
The value of log_b(1) is 0 for any base b.
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