Degree/Odd/Even/Multiplicity
What is DEGREE?
What is another word for x-intercepts?
What is the degree of the following polynomial function? 2x3-4x2+x-2
3
Write the Polynomial Function that has zeros at
(-4,0), (5,0), and (-7,0).
y= (x+4)(x-5)(x+7)
What is the Leading Coefficient of the following function? 4x3-2x+3
Leading Coeffiecient is 4
What is the degree of the following function?
y= x(x-2)2(x+4)
4th degree
x1(x-2)2(x+4)1
1+2+1=4
Is the Leading Coefficient Positive OR Negative based on the following End Behavior:
𝐴𝑠 𝑥 → −∞,𝑓(𝑥) → −∞
𝐴𝑠 𝑥 →∞,𝑓(𝑥) → ∞
POSITIVE
𝐴𝑠 𝑥 → −∞ (LEFT),𝑓(𝑥) → −∞ (DOWN)
𝐴𝑠 𝑥 →∞ (RIGHT),𝑓(𝑥) → ∞ (UP)
Slope = Positive
Write the equation of the function in which the graph goes through the point at x=-4, bounces at x=0, and has a point of inflection at x=6.
y=x2(x+4)(x-6)3