Question

Almost done, stuck on a few.
Word Bank:
composite function
nth root
radicand
index
one-to-one function
rational exponent
inverse function
principal root
rationalize the denominator
inverse relation
radical equation
simplest form of a radical
like radicals
radical function
square root equation
square root function

Answer 1

principal root

Answer 2

cOULD YOU HELP WITH SOME OTHERS?

Answer 3

sure why not

Answer 4

i want best response though

Answer 5

Thanks!

1. COMPOSITE FUNCTION a combination of two functions such that the output from the first function becomes the input for the second function
2. RADICAL EQUATION equation that has a variable in a radicand or has a variable with a rational exponent
3. _______________________ a function for which each y-value in the range corresponds to exactly one x-value in the domain
4. _______________________ a function that can be written in the form f(x)=a nV(x-h)+k, where a is not equal 0 and nV represents the nth root.
5. _______________________ a function that can be written in the form f(x)=a V(x-h)+k, where a is not equal 0 and V represents square root.
6. INVERSE RELATION If (a,b) is an ordered pair of a relation, then (b,a) is an ordered pair of its inverse.
7. NTH ROOT If an=b, with a and b being real numbers and n is a positive integer, then a is the nth root of b.
8. _______________________ If function f pairs each value b with value a, then its inverse, denoted f -1, pairs the value a with the value b.
9. _______________________ If the nth root of a is a real number and m is an integer, then a1/n = nVa and am/n = nV(am) = (nVa)m, where nV represents the nth root
10. INDEX indicates the degree of the root with a radical sign
11. PRINCIPAL ROOT the positive root when a number has two real roots
12. RATIONALIZE THE DENOMINATOR process of rewriting an expression so there are no radicals in any denominator and no denominators in any radicals
13. RADICAND the quantity under the radical sign
14. SIMPLEST FORM OF A RADICAL radical expression with index n where there are no radicals in any denominator, no denominators in an radical, and no radicand has nth power factors
15. LIKE RADICALS radical expressions that have the same index and the same radicand
16.SQUARE ROOT EQUATION a radical equation in which the radical has index 2

I have a lot of them done just a little stuck now

Answer 6

i'll be honest with you

Answer 7

i don't know a lot of these

Answer 8

but you should google them

Answer 9

it'll be easier and give you better answers

Answer 10

Well I found this but having trouble matching them

index
gives degree of root

like radicals
Radical expressions that have the same index and the same radicand.

nth root
For any real numbers A and B, and any positive integer N, if A'N = B, then A is an Nth root of B.

principal root
a positive square root

radicand
The number or expression inside a radical symbol

rational exponent
Exponents containing fractions.

rationalize the denominator
when an expression is rewritten so that there are no radicals in any denominator and no denominators in any radicals

simplest form of radical
a radical expression with index n is in simplest form if there are no radicals in any denominator, no denominators in any radical, and any radicand has no nth power factors

composite function
it's a combination of two functions such that the output from the first function becomes the input for the second function

inverse function
the function obtained by expressing the dependent variable of one function as the independent variable of another

inverse relation
two relations are inverse relations if and only if whenever one relation contains the element (a,b) the other relation contains the element (b,a)

one to one function
a function where each element of the range is paired with exactly one element of the domain

radical equation
An equation that contains a radical expression with a variable in the radicand

radical function
contains a radical expression with the independent variable in the radicand. EX: y=square root of x+2

square root equation
it's a radical equation in which the radical has index 2

square root function
A function that contains the independent variable in the radicand.

Answer 11

@kropot72 could you help me figure which is which. Since they aren't written the same I'm having trouble.

Answer 12

Another Google search gives 'One-to-one function' for 3. I used "a function for which each y-value in the range corresponds to exactly one x-value in the domain " to search. and found an exact match here:
http://www.proprofs.com/flashcards/cardshowall.php?title=algebra-unit-6-exam-vocab