Graphs of Logarithms
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of a logarithmic function?
Back
f(x) = log_b(x) where b > 0 and b ≠ 1.
2.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = log(x)?
Back
Domain: x > 0.
3.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = log(x)?
Back
Range: all real numbers.
4.
FLASHCARD QUESTION
Front
What transformation occurs when you add a constant to a logarithmic function?
Back
It translates the graph vertically.
5.
FLASHCARD QUESTION
Front
What transformation occurs when you subtract a constant from the input of a logarithmic function?
Back
It translates the graph horizontally.
6.
FLASHCARD QUESTION
Front
What is the vertical asymptote of the function f(x) = log(x)?
Back
Vertical asymptote: x = 0.
7.
FLASHCARD QUESTION
Front
How do you find the equation of the asymptote for f(x) = log(x + c)?
Back
Set the argument of the log to zero: x + c = 0, so x = -c.
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