4 - Solving Radicals and Graphing Features
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical in mathematics?
Back
A radical is an expression that includes a root, such as a square root or cube root. For example, @@ ext{radical} ext{ of } x = ext{ } oot{n}{x}@@.
2.
FLASHCARD QUESTION
Front
How do you solve an equation involving square roots?
Back
To solve an equation with square roots, isolate the radical on one side, square both sides to eliminate the radical, and then solve the resulting equation.
3.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.
4.
FLASHCARD QUESTION
Front
How do you identify extraneous solutions?
Back
To identify extraneous solutions, substitute the solutions back into the original equation to check if they hold true.
5.
FLASHCARD QUESTION
Front
What is the square root property?
Back
6.
FLASHCARD QUESTION
Front
What does it mean to reflect a graph over the x-axis?
Back
Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.
7.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a square root function?
Back
Adding a constant to a square root function shifts the graph vertically. For example, @@y = ext{ } oot{2}{x} + c@@ shifts the graph up by c units.
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