8. Relations And Functions:definitions Flashcards
Domain
The first element (X-value) of a relation or function; input
Range
The second element (y-value) of a relation or function; output
Function
A relation such that for every X-value there exists one y-value; Every X-value is used only once; every function is a relation but not every relation is a function
Input
X-value of a function or relation
Output
Y-value of the relation or function
Relation
Any set of numbers that are able to be graphed on a coordinate plane; a relation can be a function, but is not always a function
F(X)=x^2
Quadratic, (0,0)
F(x)=square root of x
Square root, (0,0)
F(X)=x^3
Cubic, (0,0)
F(X)=cube root of X
Cube root, (0,0)
F(X)=absolute value of X
Absolute value, (0,0)
F(X)=1/X
Rational, X=0 y=0
To translate a function horizontally?
Add or subtract within function
+=left
-=right
To translate a function vertically?
Add or subtract outside of function
+=right
-=left