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Parent Functions. P.7. Parent Functions. Y = x 2 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

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parent functions1
Parent Functions

Y = x2

Dom [-∞, ∞] or All Real Numbers

Range [0, ∞ ]

Called the quadratic function

parent functions2
Parent Functions

Y = √x

Dom [0, ∞ ]

Range [0, ∞ ]

Called the root function.

parent functions3
Parent Functions

Y = 1/x

Dom All reals except x = 0

Range All reals except y = 0

Called the rational function.

parent functions4
Parent Functions

Y = |x |

Dom [-∞, ∞] or All Real Numbers

Range [0, ∞ ]

Called the abs value function.

parent functions5
Parent Functions

Y = x

Dom [-∞, ∞] or All Real Numbers

Range [-∞, ∞]

Called the Identity function.

parent functions6
Parent Functions

Y = x3

Dom [-∞, ∞] or All Real Numbers

Range [-∞, ∞]

Called the cubic function.

slide8

Called the cube root function.

Dom : All Reals

Range: All Reals

slide10

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.