What is the degree of the polynomial:
3x^2 + x
2nd degree
What is the leading coefficient?
9x3 - 5x + 7
9
What are degree and leading coefficient?
degree is odd, 3 and leading coefficient is positive
The point of the y - intercept?
(0,-1)
What transformation is shown for the function from f.
f(x-5)
Translated right 5
What is the degree of the polynomial?
3x^2 - 2x^ 4 + x
4
The number of terms the polynomial has:
2x^ 8 -3x^ 7 +5x^ 2 + 4x + 1
5
What are the degree and leading coefficient?
degree = even, 2 and leading coefficient is negative (concave down)
The roots are...?
x = -2, 0, 2
What transformation is shown for the function from f.
f(x)-10
Translated down 10
What is the degree of the polynomial?
10x^2 - 4x + 3 - x^3
3rd degree
Write the polynomial in standard form
3x^2 - 7x^4 + 9 - x ^ 4
What is
-8x^4 + 3x^ 2 + 9
If the polynomial is odd and the leading coefficient is positive then this happens to the end behavior
As x -> -oo , f(x) -> -oo
As x -> +oo , f(x) -> +oo
What is the end behavior?
as
x->-infty,y->-infty and x->infty, y->infty
What transformations are shown for the function from f.
(x+6)^2 - 3
Translated left 6 and down 3
What is the degree of the graph?
3 (cubic function)
Based on the graph, the leading coefficient is...
positive
if a polynomial's end behavior is the same for both
x -> -oo and +oo
then, the function has this type of degree...
even
As
x-> +oo , y -> ?
-oo
Sketch a graph for f.
f(x)=(x + 2)^2 - 4
Parabola shifted left 2 and down 4.
What is the name of a polynomial with a degree of 5?
5th Degree Polynomial
Based on the degree, what type of function is
f(x) = x4 + 2x + 3
4th degree polynomial
Describe the end behavior of f(x) = -x(x + 1)(x + 2)(x + 3)
As x -> +oo or -oo, f(x) -> -oo
What is the end behavior of
x->-infty,y->0 and x->infty, y->-infty
Sketch a graph for f.
f(x)= -(x + 5)^3 + 2
Cubic function reflected, shifted right 5 and up 2.