Logarithms- Expand, Condense, Evaluate
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does the letter 'k' represent in the general log function y = a*log_b(x-h)+k?
Back
The letter 'k' indicates the vertical shift of the function, telling us if the function has moved up or down.
2.
FLASHCARD QUESTION
Front
What does the letter 'a' represent in the general log function y = a*log_b(x-h)+k?
Back
The letter 'a' indicates the vertical stretch, compression, or reflection of the function.
3.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
The change of base formula is log_b(a) = log_c(a) / log_c(b), where c is any positive number.
4.
FLASHCARD QUESTION
Front
What transformation does the function y = log(x+3) represent?
Back
The function y = log(x+3) represents a leftward shift of 3 units.
5.
FLASHCARD QUESTION
Front
How do you evaluate log_b(x) using a calculator?
Back
Use the change of base formula: log_b(x) = log(x) / log(b) using common or natural logarithms.
6.
FLASHCARD QUESTION
Front
What is the domain of the logarithmic function y = log_b(x)?
Back
The domain is x > 0, meaning the input must be positive.
7.
FLASHCARD QUESTION
Front
What is the range of the logarithmic function y = log_b(x)?
Back
The range is all real numbers, (-∞, ∞).
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