Graphs of Logarithmic Functions

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is the equation of the function after translating f(x)=log₃x 6 units to the left and 4 units up?
Back
g(x)=log₃(x+6)+4
2.
FLASHCARD QUESTION
Front
What is the domain and range of f(x) = log₂(x)?
Back
Domain: x > 0; Range: all real numbers
3.
FLASHCARD QUESTION
Front
What is the transformation of the logarithmic function f(x)=log(x+3)-1?
Back
left 3, down 1
4.
FLASHCARD QUESTION
Front
What is the equation of the asymptote in the graph of y=log₅(x+3)+5?
Back
x = -3
5.
FLASHCARD QUESTION
Front
Find the asymptote of y = log₁₀(x+3).
Back
x = -3
6.
FLASHCARD QUESTION
Front
Define a logarithmic function.
Back
A logarithmic function is the inverse of an exponential function, expressed as f(x) = log_b(x) where b is the base.
7.
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, denoted as log_b(a) = c if b^c = a.
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