Degrees
Vocabulary/Example
End Behavior
Zeros/y-intercept
Turning Points & Multiplicity
100
The degree of
f(x)=x3+3x2+6
What is 3
100
Write an equation and draw an arrow to the leading coefficient
What is leading coefficient
100
What determines the behavior of the right branch of a polynomial?
What is the leading coefficient
100
The zeros of the function
f(x) = (x+1)(x-3)
What is x=-1, x=3
100
Given f(x)=x2(x+3)
What is the multiplicity of -3
What is 1
200
The degree of
5x2 + 2x5 + 4x -1
What is 5
200
Draw a polynomial and draw an arrow pointing to the turning point
What is turning point
200
What determines the behavior of the left branch of a polynomial?
What is the degree of the polynomial
200
The zeros of the function
f(x) = x(x-2)(x+5)
What are 0, 2, and -5
200
This is the maximum turning points of the function
f(x) = -5x4 -8x3 -5x2 + 12x + 5
What is 3
300
The degree of
f(x)=(x+2)2(x-1)3
What is 5
300
What is zero/x-intercept?
The point where the graph crosses the x-axis
300
Draw me the end behavior of a polynomial with a negative leading coefficient and an odd degree
What is (right branch down, left branch up)
300
Write an equation f(x) with zeros
x=0, x=4, and x=-1
What is f(x)=x(x-4)(x+1)
300
Given f(x)=x2(x+3)
What is the MAX number of turning points the graph can have
What is 2
400
What is the degree and leading coefficient of the function
f(x) = -9x5 -2x4 + x3 + 2x2 + 2x + 5
What is 5 and -9
400
What is end behavior (give a definition or explanation as to what it is)
What is the behavior of the graph of a function at the end of the x-axis
400
This is the degree( odd/even) and the leading coefficient(positive/negative) of this graph
What is even/positive
400
This y-intercept of
f(x) = x(x-1)3(x+2)2
Give me the coordinate
What is (0,0)
400
Draw me a graph with four zeros that behave the following way
Bounce bounce cross bounce
What is
500
Write me a function with degree 4 in intercept form
What is f(x)=
500
A polynomial graph must be two things? What are they?
What is continuous and rounded turns
500
This is the degree( odd/even) and the leading coefficient(positive/negative) of this graph
What is odd/positive
500
The y-intercept of
f(x) =(x-2)(x+3)
Give the coordinate
What is (0,-6)
500
Write me an equation with a degree of 5, where a zero bounces and the rest cross
What is (answers will vary)
f(x)=x2(x+2)3
f(x)=x2(x+_)(x-_)(x+_)