Function -
A relation that pairs each input exactly with one output.
Relation -
Pairing inputs with outputs.
Independent variable -
Dependent variable -
The variable that represents in the input values of a function.
Domain -
The set of all possible input values in a function.
Range -
The set of all possible output values in a function.
Linear -
Graphical behaviors -
Straight line
Increasing/decreasing/constant -
Yes Yes Yes
Domain/Range -
Domain - All real numbers
Range - All real numbers
Maximum/minimum -
N/A
Curve/line -
Line
Examples -
y=3x+1 and f(x)=2/3x+3
Exponential -
Graphical behaviors -
Never hits point expected
Increasing/decreasing/constant -
Yes Yes Yes
Domain/Range -
Domain - ∞≥x≥-∞
Range - A sub-sect of all real numbers
Maximum/Minimum -
No No
Curve/line -
Curve
Examples -
Ax=500(1.03)x y-2x-6, y=4x and y=2x-3
Quadratic -
Graphical behaviors -
x2
Increasing/decreasing/constant -
Yes Yes No
Domain/Range -
Domain - All real numbers
Range - Sub-sect of all real numbers
Maximum/minimum -
One or the other
Curve/line -
Curve
Example -
f(x)=ax2+bx+c
Absolute value -
Graphical behaviors -
Looks like v
Increasing/decreasing/constant -
Yes Yes No
Domain/Range -
Domain - All real numbers
Range - Sub-sect of all real numbers
Maximum/minimum -
No No
Curve/line -
Line
Examples -
f(x)=a ⎜x+b⎢+c
Domain direction -
Domain is found by reading the ends of a graph from left to right.
Range direction -
Range is found by reading the ends of a graph from bottom to top.