Characteristic of graph
Is a point where two lines or edges meet on a graph and is represented as y=a(x-h)+k
what is vertex
(true or false) Rang is the set of all y-values and Domain is the set of all x-values
True
(8,0)(4,7)
RoC: -7/4
Vertex, standard, and intercept can be converted by what?
Vertex: distributing, completing the square
Standard: completing the square, factoring
Intercept: factoring, distributing.
{(0,9) (5,4) (6,4)} is a function
No
If the graph start from -5 and reach 7 on the graph, is it increasing or decreasing?
Increasing Interval
{(0,0) (5,0) (6,2)} is a function
NO
y=6x-3
x-values
[5,9]
RoC: 27/4
Convert to intercept: x-10x+25
y=(x-5)(x-5)
You need 2 points to use this y2-y1/ x2-x1
What is Average Rate of Change
(true or false) "As x --> -infinity, y --> infinity" means that it as it goes left, its going up. And "As x --> infinity, y --> -infinity" means as it goes right, it goes down.
True
(True or False) In order for it to be a function the "x" and "y" only correspond with one value of each other.
True
{(-2, 2)(-1,4)(0,6)(1,8)(2,10)}
[0,2]
RoC: 2
convert to intercept: x=(x-6)2-7
(x+2)(x-8)
y=a(x-h)+k is a converting form
What is Vertex
what characteristic pass through the vertex on the graph
Axis of Symmetry
{(0, 8) (4, 7) (7, 8) (8, 5)} is a function
Yes
{(-2, 14)(-1, 17)(0,20)(1,23)(2,26)}
[-2,0]
RoC: 3
x=(x+12)2-134
If the graph start from 7 and reach 4 on the graph, is it increasing or decreasing?
decreasing interval
If the function on the graph has a vertex of (2,8), is it a max or a min?
Max
If a function goes -9 to 10 x-values and -10 to 7 y-value on a graph. what is the Domain and Range?
Domain: [-9,10]
Range: [-10,7]
y=5x+9
x-values
[-1,4]
RoC: 5
Standard form: (x+2)2+1
x2+4x+5
If the function on the graph has a vertex of (8,-4), is it a max or a min?
Min