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Polynomial Graphs

Vocabulary related to graphs of polynomial functions

TermDefinition
Turning Points Where the graph changes direction
Degree of Polynomial The highest exponent in the polynomial
Leading Coefficient The number in front of the variable in the term with the highest exponent
y-Intercept The point where the graph crosses the y-axis
Global Max/Min The absolute highest or lowest point on a graph
Local Max/Min High and Low points that occur at turning points; Not necessarily the absolute highest and lowest point on a graph
Zeros The x-value that makes the function equal 0; a real zero is an x-intercept of the graph
Multiplicity The number of times a particular number is a zero of a polynomial
What happens on the graph at a zero with an even multiplicity? The graph bounces on the x-axis
What happens on the graph at a zero with an odd multiplicity? The graph crosses the x-axis
End behavior of an odd degree polynomial with a positive leading coefficient Falls left, rises right
End behavior of an odd degree polynomial with a negative leading coefficient Rises left, falls right
End behavior of an even degree polynomial with a positive leading coefficient Rises left, rises right
End behavior of an even degree polynomial with a negative leading coefficient Falls left, falls right
The number of zeros of a polynomial The number of zeros is equal to the degree of the polynomial
Created by: jlstuart5
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