GRAPHS CHARAACTERISTICS
FUNCTIONS
Function Vocabulary
Is it a Function?
GRAPH DIRECTIONS
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
IF A GRAPH IS GOING UP STARTING FROM THE LEFT GOING RIGHT. WHAT IS THE GRAPH BEHAVIOR?
INCREASING
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
IF A GRAPH IS GOING DOWN FROM LEFT TO RIGHT. WHAT IS THE GRAPH BEHAVIOR
DECREASING
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
IF A GRAPH IS A STRAIGHT LINE WHAT IS IT'S BEHAVIOR?
CONSTANT
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
A CURVED GRAPH THAT DECREASES THEN INCREASES AND OPENS UP HAS A ________? (MIN/MAX)
MIN
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 PIECEWISE
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)
Table, Graph, Mapping, Equation, Ordered pairs, Verbal
500
A CURVED GRAPH THAT INCREASES THEN DECREASES AND OPENS UP HAS A ________? (MIN/MAX)
MAX