Parent Functions and Transformations

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Parent Functions
P.7
Parent Functions
Y = x2
Dom [-∞, ∞] or All Real Numbers
Range
[0, ∞ ]
Called the quadratic
function
Parent Functions
Y = √x
Dom [0, ∞ ]
Range [0, ∞ ]
Called the root function.
Parent Functions
Y = 1/x
Dom All reals except x = 0
Range All reals except y = 0
Called the rational function.
Parent Functions
Y = |x |
Dom [-∞, ∞] or All Real
Numbers
Range
[0,
∞
]
Called the abs
value function.
Parent Functions
Y=x
Dom [-∞, ∞] or All Real Numbers
Range [-∞, ∞]
Called the Identity function.
Parent Functions
Y = x3
Dom [-∞, ∞] or All Real Numbers
Range [-∞, ∞]
Called the cubic
function.
Called the cube root
function.
Dom : All Reals
Range: All Reals
The Step functions. Also
know as y = [x], int (x)
Dom : All Reals
Range: Intergers
The goal is to know these parent functions so
we can then quickly graph any translation of
them.
HW Make index cards of the functions.
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