In a Quadratic Function, if the value of a is positive, then it opens ______.
UPWARD
It is the minimum point of graph of quadratic function.
VERTEX
What is the last step in graphing polynomial?
LABEL THE GRAPH
What is the end behavior of the graph below?
It both falls down to the left and to the right
Find the y-intercept of the function.
y= x2-2x+ 1999
y= 1999
Find the x-intercept or zeroes of the function.
y=3x + 12
0= 3x + 12
-12 = 3x
x= -4
(-4,0)
Classify by degree of polynomial:
3x2- 8x + 1
QUADRATIC
f(x) = (x+4)(x-3)(x-2)
List the zeroes for this function.
x=-4, x=3, x=2
It is a polynomial that has a degree of 3
CUBIC
What is the end behavior of the graph
It rises to the right then fall to the left
Given this polynomial function: y= 2x3-7x2-7x+12
What is the behavior of it's graph?
A. Left hand : falling , Right hand: rising
B. Left hand : falling , Right hand: falling
C. Left hand : rising , Right hand: falling
A. Left hand : falling , Right hand: rising
Find the intercepts of
y= x4+ 6x3-x2-6x
y= x4+ 6x3-x2-6x
y= x(x+6)(x+1)(x-1)
0= x(x+6)(x+1)(x-1)
Which best describes the graph of the function
f(x)= x3+3x2-4x-12?
A. It is shaped like a letter U with its sides sloping outward.
B. It goes down to the far left and up to the far right. C. It goes down to the far left and down to the far right.
B. It goes down to the far left and up to the far right.
What are the factors of this polynomial function?
P (x) = - x3 - x2 + 2x.
P (x) = - x3 - x2 + 2x
= - x (x2 + x - 2)
= - x (x + 2)(x - 1)
Factor polynomial P given by
P (x) = x4 - 2x2+ 1
What is the end behavior of the graph below
It rises to the right the fall to the left
Graph the polynomial function x3−2x2−3x
GIVE THE 6 STEPS IN GRAPHING POLYNOMIAL.
1. Determine the graph and behavior
2. Find the x-intercept or zeroes of the function.
3. Find the y-intercept of the function.
4. Find the number of maximum turning points.
5. Draw the graph.
6. Label the graph.
Graph the polynomial p(x) = (x-3)(x+2)(x+5).
Find the end behavior of the function x4−4x3+3x+25