Graph Characteristics
Function Families
Vocabulary
Is It a Function?
Domain & Range
100
WHAT FUNCTION FAMILY IS SIMPLE AND MADE OF ONE STRAIGHT LINE. THEY ONLY INCREASE/DECREASE/ OR ARE CONSTANT
LINEAR
100
y=mx+b
LINEAR
100
The set of all x-values or inputs of a function.
DOMAIN
100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
YES because every input (x) has exactly one output (y).
100
Identify the domain and range of the following: 
D: -2 < x < 4
R: -3 <= y <= 3
200
THIS FUNCTION FAMILY HAS A SMOOTH CURVE. THEY CHANGE DIRECTION AND HAVE A MIN OR A MAX.
QUADRATIC
200
f(x)=|8x-2|-3
ABSOLUTE VALUE
200
The set of all y-values or outputs in a function
RANGE
200
Is it a function?
X Y
2 4
1 6
2 6
NO; the x-value of 2 has two y-values (4 and 6).
200
What is the domain and range of the graph? 
Domain: 0 <= x < infinity
Range: -2 <= y < infinity
300
THIS FUNCTION FAMILY CHANGES DIRECTION. THEY ARE MADE OF TWO STRAIGHT LINES. THEY HAVE A MIN OR A MAX
ABSOLUTE VALUE
300
Y=3X2
QUADRATIC
300
WHAT IS THE WORD THAT BEST DESCRIBES DATA THAT HAS GAPS WHEN VIEWED ON A COORDINATE PLANE?
DISCRETE
300
Which one(s) are not functions? 
B & D
300
What is the domain of the following arrow diagram? 
{-2,0,1,3}
400
THIS FUNCTION FAMILY HAS A SMOOTH CURVE. THEY ARE ONLY IN QUADRANTS 1 AND 2. THEY EITHER INCREASE OR DECREASE ONLY AND DO NOT CHANGE DIRECTION.
EXPONENTIAL
400
Y=8x
EXPONENTIAL
400
The test to tell if a graphed relation is a function
VERTICAL LINE TEST
400
Is it a function?
NO; it does not pass the Vertical Line Test, for example, x = -2 has two y-values.
400
What the domain and range of the following? 
D: -2 <= x <= 6 R: -6 <= y <= 2
500
THIS FUNCTION FAMILY HAS DIFFERENT CONNECTED PARTS. THIS TYPE OF FUNCTION FAMILY CHANGES DIRECTION MULTIPLE TIMES.
LINEAR PIECEWISE
500
Y=5X
Y=18X+10
Y=14X-2
LINEAR
500
Draw a coordinate plane and label each quadrant correctly.
500
Give an example of a function using any of the 6 different relationship representations we identified in our class activity. Points are awarded for EACH unique representation. (different not all the same)
*answers will vary*
500
Identify the domain and range of the following graph. 
Range: y=-2
Domain: -infinity < x < infinity