Chapter 2 Flashcards
Domain
The set of inputs that are the x values
Range
The set of outputs that are the y coordinates
Function
A relation in which each element of the domain directly corresponds with an element of the range.
How to identify a relation as a function
Check to see if any values of the range share a values of the domain
How to identify if it is a function on a graph
Vertical line test.
X is the
Independant variable
F(x) is the
Dependant variable
How to determine varies directly and the constant of variation
Put the relation into fraction form. If the fractions are equal then it varies directly. The constant of variation is the simplified fraction
Telling Varies directly by an equation
If you can simplify it to y=ax then it varies directly
Y=ax+2 does not vary directly.
Translation
Shifts the graph without changing the shape
Reflection
Reflects the graph across an axis.
-fx = across x
F(-x) =across y
2f(x)
Vertical stretch
1/2F(x)
Vertical compression
F(2x)
Horizontal compression
F(1/2x)
Horizontal stretch