Math 3: Unit 1- Functions and their inverses

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

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


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