Algebra 2 TN EOC Review Assignment (Fall 2024)
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
2.
FLASHCARD QUESTION
Front
Define a polynomial function.
Back
A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.
3.
FLASHCARD QUESTION
Front
What is the difference between a linear function and a quadratic function?
Back
A linear function has the form f(x) = mx + b, where m and b are constants, and its graph is a straight line. A quadratic function has the form f(x) = ax² + bx + c, where a ≠ 0, and its graph is a parabola.
4.
FLASHCARD QUESTION
Front
Explain the concept of a function's domain.
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
5.
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.
6.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given in standard form?
Back
For a quadratic function in standard form f(x) = ax² + bx + c, the vertex can be found using the formula x = -b/(2a) and then substituting this x-value back into the function to find the corresponding y-value.
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant, given by D = b² - 4ac, determines the nature of the roots of the quadratic equation: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.
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