Methods
What test must you do to decide if a graph is a relation or a function?
Vertical Line Test
Define Range
the set of y-values
Define Parent Function
The simplest of functions in a family
An even function consist of all ____ exponents
even
Define Domain
The set of x values
Name the 2 test needed to decide if a function is one to one
Vertical Line Test, Horizontal Line test
Define the domain
{(2,3),(5,4),(6,3)}
D: {2,5,6}
What is the equation for the quadratic function?
Is the function even, odd, or neither?
x4
Define continuous functions
A function that can be graphed with an unbroken line or curve
Horizontal transformation are _____ the parent function
inside
State the range
{(2,3),(5,4),(6,3)}
R:{3,4}
What is the equation for the rational function?
f(x)=1/x
Is the function even, odd, or neither?
x9
odd
Define Even function
Functions that are symmetric in the y-axis
Horizontal transformations are _______ from what they seem.
backwards
{-inf,+inf}
x3+4x+2
Cubic function
Is the function even, odd, or neither?
x3+x
odd
Define rigid transformation
a change in position or location
If a function is vertically expanded by a factor of 2, the y values should _____ within the table.
double
Is the function onto? Explain why or why not
codomain: all reals, Domain:[-2,5], Range: all reals
yes because the range matches the codomain
What is another name for the rational function?
The reciprocal function
Is the function even, odd, or neither?
x4+x+1
Neither
Define maximum
the highest point on a graph