Domain, Range, and Key Features of Quadratics

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of 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.
2.
FLASHCARD QUESTION
Front
What is the definition of 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.
3.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is y = ax² + bx + c.
5.
FLASHCARD QUESTION
Front
What are the key features of a quadratic function?
Back
Key features include the vertex, axis of symmetry, y-intercept, x-intercepts (zeros), and the direction of the parabola (opening up or down).
6.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic function?
Back
The y-intercept can be found by evaluating the function at x = 0.
7.
FLASHCARD QUESTION
Front
What are x-intercepts of a quadratic function?
Back
X-intercepts are the points where the graph of the function crosses the x-axis, also known as the zeros of the function.
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