In a Quadratic Function, if the value of a is positive, then it opens ______.
UPWARD
It is the maximum 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
In determining the turning point, what is the formula?
TP= n-1
How should the polynomial function
f(x)= 2x+x3+3x5+4 be written in standard form?
f(x)= 3x5+x3+2x+4
Find the intercepts of
y= 3x+15
y= 3x+15
0= 3x+15
-15=3x
x= -5 (-5,0)
y=3(0)+15
= 15 (0,15)
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.
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
Given the polynomial function: x2+2x+1
DETERMINE THE FF:
Degree:
x- intercept:
y- intercept:
Turning Point:
Factors:
Left end trend:
Right end trend:
Degree:2
x- intercept: 0= x2+2x+1
= (x+1)(x+1)
x+1=0 x+1=0
x=-1 (-1,0) x=-1 (-1,0)
y- intercept: y= 02+2(0)+1
y= 1 (0,1)
Turning Point: 1
Factors: (x+1)(x+1)
Left end trend: rising
Right end trend: rising
If the end behavior of a graph of the polynomial function rises both to the left and to the right, which of the following is true about the leading term?
A. The leading coefficient is negative, the degree is even.
B. The leading coefficient is positive, the degree is even.
C. The leading coefficient is positive, the degree is odd.
B. The leading coefficient is positive, the degree is even.
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.
Given this f(x)=(x-3)(x+2)(x+5).
Degree:
x- intercept:
y- intercept:
Turning Point:
Factors:
Left end trend:
Right end trend:
Degree: 3
x- intercept: 3, -2, -5 (3,0),(-2,0),(-5,0)
y- intercept : -30 (0,-30)
Turning Point: 2
Factors: (x-3)(x+2)(x+5)
Left end trend: point down or falling
Right end trend: point up or rising
Graph the function x4−4x3+3x+25