Radical Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a radical function?
Back
A radical function is a function that contains a variable within a radical (square root, cube root, etc.). The general form is @@f(x) = oot[n]{g(x)}@@ where g(x) is a polynomial.
2.
FLASHCARD QUESTION
Front
How does the graph of @@y = oot{(x)}@@ behave?
Back
The graph of @@y = oot{(x)}@@ is a half-parabola that opens to the right, starting at the origin (0,0) and increasing as x increases.
3.
FLASHCARD QUESTION
Front
What effect does the transformation @@y = oot{(x - h)}@@ have on the graph?
Back
The transformation shifts the graph of the radical function horizontally to the right by h units if h > 0, and to the left if h < 0.
4.
FLASHCARD QUESTION
Front
What effect does the transformation @@y = oot{(x)} + k@@ have on the graph?
Back
The transformation shifts the graph vertically. If k > 0, the graph shifts up by k units; if k < 0, it shifts down by k units.
5.
FLASHCARD QUESTION
Front
What does the negative sign in front of a radical function indicate?
Back
A negative sign in front of a radical function, such as @@y = - oot{(x)}@@, reflects the graph over the x-axis.
6.
FLASHCARD QUESTION
Front
How do you determine the domain of a radical function?
Back
7.
FLASHCARD QUESTION
Front
What is the range of the function @@y = oot{(x)}@@?
Back
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