Math 3: Unit 1- Functions and their inverses
Absolute value function domain
Real
Quadratic function Domain
Real
Rational function domain
Real; x does not equal 0
Rational function range
Real; y does not equal zero
When A is negative
Reflection
A is a whole number
Stretch
What does A stand for
Stretch/compress/reflect
How to know if a table is rational
Undefined
Rational Parent Graph
Uses ascentope
To know if a table is exponential
ratios of the y values will be the same
2 undefineds is always what
square root
Square root function domain
x>= 0
Rational function equation
y = 1/x
Rational family equation
y(1/x-h)+k
Quadratic family equation
y= a(x-h)^2+k
Square root family equation
y= a√x-h + k
Quadratic function parent equation
y= x^2
Square root function parent equation
y= √x
Absolute value family equation
y=a |x-h| +k
Exponential family equation
y=a2^x-h + k
Linear family equation
y=mx+b
Linear function Parent equation
y=x
Absolute value function equation
y=|x|
Exponential function range
y>1
Absolute value function range
y>= 0
Quadratic function Range
y>= 0
Square root function range
y>=0
Exponential function parent equation
2^x
To know if a table is cubic ]
3rd difference will be the same
Points to use in linear parent equation
(-1,-1), (0,0), (1,1)
Points to use in quadratic equation
(-1,1) (0,0) (1,1)
Rational function points to use
(-2,-1/2) (2, 1/2) (-1,-1) (1,1)
Absolute value points to use
(-2,2) (-1,1) (0,0) (1,1) (2,2)
Square root function Points to use
(0,0), (1,1), (4,2)
Points to use in exponential function
(0,1), (1,2)
A is a fraction
Compress
how to know if a table is square root
Decimals and whole numbers
To know if a table is quadratic
First difference not the same second difference is the same
Transformations
Movement of parent graph due to change in parent equation
What does H stand for?
Moves left/right
WHat does K stand for
Moves up/down
How to know if a table is absolute value
Opposite y's for opposite x's
Exponential function domain
all real numbers
Linear function Domain
all real numbers
Linear function Range
all real numbers
To know if a table is linear
difference is the same
