Polynomial Functions Flashcards
Is this a polynomial f(x) = sinx ?
No because it is a trig/periodic functions
Is this a polynomial f(x) = 2^x
No because it is an exponential function.
What are complex zeros
Zeros that are off the line
What is the order of the factor (x-3) in the equation (x-3)(x-4)?
Order of (x-3) is 1.
What is the order of the factor (x+1)^2 in the equation (x+1)^2?
Order of (x+1) is 2.
What is the order of the factor (x-2)^3 in the equation (x-2)^3?
Order of (x-2) is 3.
What is the degree of the polynomial y = (x+2)(x-3)^2?
Degree is 3.
What are the x-intercepts of the polynomial y = 0.25(x+3)(x-2)(x-5)?
x-intercepts are x = -3, 2, 5.
What is the degree of the polynomial y = -(x+3)(x-2)(x-4)^2?
Degree is 4.
What is the shape of the graph near the intercept at x=1 for the polynomial y = (x+1)^2(x-2)?
The graph touches and turns at x=1 (order 2).
What is the shape of the graph near the intercept at x=1 for the polynomial y = (x-1)^3(x+4)?
The graph flattens and twists at x=1 (order 3).
How many zeros can a even degree function have?
May have up too degree number of zeros but can also have none.
How many zeros can a odd degree polynomial function have?
May have odd degree number of zeros but requires atleast one.
How many turning Points can a polynomial function have?
Can have n-1 number of turning points where n is the degree of the function.
What are the equations for applying transformations
ay + c | x/k + d
