Algebra II 6.3-6.4

Square root function

function contains the square root variable

(TYPE OF RADICAL FUNCTION)

On graph, line will create a curve.

square root domain

restricted to values that result in real number (radicand >/= 0)

Set radicand >/= 0 then solve for x for DOMAIN VALUE

square root range

Uses A VALUE to determine (Up/Down), then use (y >/= k if UP), or (y </= k DOWN)

cube root function

function which contains the cube root of a variable

On graph, line will create an “s” shape (going two way)

**SQUARE ROOT WILL HAVE 3 IN ROOT

nth root

Value which gets multiplied by itself “n” times to get the initial value.

FOR EX: C is radicand, N is the rood (index) ⁿ√C

Radicand

“C” value, usually number within the radicand; √C

Index

“n” value, whatever you divide by C to recieve an initail value.

**EQUIVALENT TO DENOMINATOR OF FRACTIONAL EXPONENT

***If EVEN, you MUST INCLUDE ABS. VALUE BARS

odd real roots

Odd degree, odd # ____ ________

even real roots

Even degree, even # ____ ________

real nth roots

when index is..

EVEN: roots CAN BE EITHER (+) or (-)

ODD: root has SAME SIGN as radicand

Power/Root

X,Y represent what in the following?

B^x/y → ^y√B^x or (^y√B)^x.