Topic 2A Test Prep #2
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, the domain of the function f(x) = 1/x is all real numbers except x = 0.
2.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce. For example, the range of the function f(x) = x^2 is all non-negative real numbers, i.e., [0, ∞).
3.
FLASHCARD QUESTION
Front
How do you determine the domain of a function given its equation?
Back
To determine the domain of a function, identify any restrictions on the input values. For example, for f(x) = √(x-1), the domain is x ≥ 1 because the expression under the square root must be non-negative.
4.
FLASHCARD QUESTION
Front
What is an interval notation?
Back
Interval notation is a way of writing subsets of the real number line. For example, (a, b) represents all numbers between a and b, not including a and b, while [a, b] includes a and b.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be continuous?
Back
A function is continuous if there are no breaks, jumps, or holes in its graph. Formally, a function f(x) is continuous at a point x = c if lim (x→c) f(x) = f(c).
6.
FLASHCARD QUESTION
Front
What is the difference between open and closed intervals?
Back
An open interval (a, b) does not include its endpoints a and b, while a closed interval [a, b] includes both endpoints.
7.
FLASHCARD QUESTION
Front
How do you find the range of a function?
Back
To find the range of a function, analyze the output values for all possible input values. This can involve graphing the function or solving inequalities.
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