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Vocabulary flashcards based on the Algebra II January 2025 exam questions.
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In an experiment, what is the purpose of the researcher's intervention?
A method of data collection where the researcher intervenes to apply a treatment and observe its effect.
What range around the mean contains the middle 95% of data in a normal distribution?
The middle 95% of data in a normal distribution lies within 2 standard deviations of the mean.
What is an extraneous solution?
A solution that arises from solving an equation but is not a valid solution to the original equation.
What does f^{-1}(x) do to the input and output of the original function f(x)
f inverse of (x) reverses the roles of input and output of the original function f(x).
What is the general form of a sinusoidal function?
A function of the form y = a*sin(bx) + c.
What does it mean for events to be independent?
Events that do not depend on any others.
What does the average rate of change measure?
Measures how much the function's output changes per unit change in its input over a given interval.
What defines a parabola in terms of the focus and directrix?
A curve where every point is equidistant from the focus and the directrix.
What are the zeros of a function?
The points at which the graph of a function intersects the x-axis.
What kind of mathematical model is exponential growth?
Mathematical model showing constant rate of change.
What are some examples of translation?
Moving a function left/right or up/down.
What is an exponential equation?
An equation where variables are in the exponent.
What does (h,k) represent?
The point (h,k).
What is the definition of the first context of simulation? (1)
Flip a coin seven times, count how many heads, and repeat 50 times. (1)
What is the definition of the second context of probability distribution? (2)
Used to show the likelihood of an event in a population. (2)
What is inductive reasoning?
The process of reasoning to a conclusion based on evidence.
What is a postulate?
A statement accepted as true without proof.
What is a theorem?
A logical argument that uses deductive reasoning to prove a statement.
What is a trapezoid?
A quadrilateral with exactly one pair of parallel sides.
What is a sample space?
The set of all possible outcomes of an experiment.
What is slope?
The measure of the steepness of a line.
What is a periodic function?
A function that repeats its values in regular intervals.
What is an isometry?
A transformation that preserves size and shape.
What is the y-intercept?
The point where a function's graph intersects the y-axis.
What does mutually exclusive mean?
When events have no outcomes in common.
What is inductive reasoning?
The process of reasoning to a conclusion based on evidence.
What is a postulate?
A statement accepted as true without proof.
What is a theorem?
A logical argument that uses deductive reasoning to prove a statement.
What is a trapezoid?
A quadrilateral with exactly one pair of parallel sides.
What is a sample space?
The set of all possible outcomes of an experiment.
What is slope?
The measure of the steepness of a line.
What is a periodic function?
A function that repeats its values in regular intervals.
What is an isometry?
A transformation that preserves size and shape.
What is the y-intercept?
The point where a function's graph intersects the y-axis.
What does mutually exclusive mean?
When events have no outcomes in common.
In an experiment, what is the purpose of the researcher's intervention?
A method of data collection where the researcher intervenes to apply a treatment and observe its effect.
What range around the mean contains the middle 95% of data in a normal distribution?
The middle 95% of data in a normal distribution lies within 2 standard deviations of the mean.
What is an extraneous solution?
A solution that arises from solving an equation but is not a valid solution to the original equation.
What does f^{-1}(x) do to the input and output of the original function f(x)
f inverse of (x) reverses the roles of input and output of the original function f(x).
What is the general form of a sinusoidal function?
A function of the form y = a*sin(bx) + c.
What does it mean for events to be independent?
The exact probability that a randomly selected guest room has a view of the lake and a queen-size bed.
What does the average rate of change measure?
Measures how much the function's output changes per unit change in its input over a given interval.
What defines a parabola in terms of the focus and directrix?
A curve where every point is equidistant from the focus and the directrix.
What are the zeros of a function?
The points at which the graph of a function intersects the x-axis.
What kind of mathematical model is exponential growth?
Mathematical model showing constant rate of change.
What are some examples of translation?
Moving a function left/right or up/down.
What is an exponential equation?
An equation where variables are in the exponent.
What does (h,k) represent?
The point (h,k).
What is the definition of the first context of simulation? (1)
Flip a coin seven times, count how many heads, and repeat 50 times.
What is the definition of the second context of probability distribution? (2)
Used to show the likelihood of an event in a population.