Zeros & Multiplicity (Alg 2 Friendly)

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What does it mean if the graph of a function crosses the x-axis?
Back
The zero has an odd multiplicity (1, 3, etc.).
2.
FLASHCARD QUESTION
Front
How does a zero with multiplicity 2 affect the graph?
Back
The graph will bounce off the x-axis at that zero.
3.
FLASHCARD QUESTION
Front
Back
The zeros are 0, 6, and -5.
4.
FLASHCARD QUESTION
Front
Back
The roots are -2 and 7 with multiplicity 3.
5.
FLASHCARD QUESTION
Front
Define 'zero' in the context of polynomial functions.
Back
A zero is a value of x that makes the function equal to zero.
6.
FLASHCARD QUESTION
Front
What is multiplicity in relation to zeros?
Back
Multiplicity refers to the number of times a particular zero occurs.
7.
FLASHCARD QUESTION
Front
If a zero has an even multiplicity, how does the graph behave at that zero?
Back
The graph touches the x-axis and does not cross it.
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