NC MATH 3 EOC REVIEW 2
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Easy
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Standards-aligned
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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 in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
Define a function in mathematics.
Back
A function is a relation that assigns exactly one output for each input from a given set. It can be represented as f(x).
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
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, b, and c are constants, and its graph is a parabola.
4.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing?
Back
A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).
5.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
6.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a quadratic function?
Back
To find the x-intercepts of a quadratic function, set f(x) = 0 and solve the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.
Tags
CCSS.HSA-REI.B.4B
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