
Brooks Adv Alg_Pract_Final Exam Review PART 2
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the empirical rule in statistics?
Back
The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
2.
FLASHCARD QUESTION
Front
What percentage of a normal distribution lies between the mean and one standard deviation above the mean?
Back
34%.
3.
FLASHCARD QUESTION
Front
What is a logarithmic function?
Back
A logarithmic function is the inverse of an exponential function, expressed as y = log_b(x), where b is the base and x is the argument.
4.
FLASHCARD QUESTION
Front
What is the domain of the function g(x) = 3 log_3(x + 2)?
Back
The domain is x > -2, since the argument of the logarithm must be positive.
5.
FLASHCARD QUESTION
Front
What is the vertical asymptote of the function f(x) = -4x / (x^2 - 4x - 4)?
Back
To find the vertical asymptote, set the denominator equal to zero: x^2 - 4x - 4 = 0. The solutions are x = 2 ± √8.
6.
FLASHCARD QUESTION
Front
What does it mean for a function to have a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of the function approaches as x approaches positive or negative infinity.
7.
FLASHCARD QUESTION
Front
How do you solve the equation √(5x + 10) - 4 = 1?
Back
Add 4 to both sides to get √(5x + 10) = 5. Square both sides to get 5x + 10 = 25, leading to x = 3.
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