Ch. 5 First Quiz

Question 1

Principal nth root

Answer 1

The real nth root with the same +/- sign as the radicand

Question 2

n =

Answer 2

number on the outside
the power the radical is raised to
also the index

Question 3

a=

Answer 3

the number on the inside
the number being raised

Question 4

If n is odd…

Answer 4

You will always have 1 solution

Question 5

If n is even…

Answer 5

a<0 no real roots
a=0 1 real root
a>0 2 real roots

Question 6

True or False
The number on the outside goes to the bottom of the fraction

Answer 6

True

Question 7

When solving an (x + #)^# problem…

Answer 7

1. Take the power and square both sides with it
2. Subtract the number from x to the other side and get x=# +/- #√ #
   Don’t forget the +/-

Question 8

How to graph

Answer 8

1. Describe Transformations
2. Create an x and y table that would make the root a perfect square/cube/etc
3. Solve for y and graph points

Question 9

What does a square root graph look like

Answer 9

A curved finger pointing

Question 10

What does a cube root graph look like

Answer 10

My hair
XXXXXXX ( ———->
<———-)

Question 11

What is domain and how to find it

Answer 11

The x value
Look at where the x starts (first point) it will always be included and see if the line goes left or right
[x, ∞ or -∞)

Question 12

What is the range and how to find it

Answer 12

The y value
Go top to bottom
Look at where the y starts and see if the line goes up or down
(∞ or -∞, y]

Question 13

How to solve two square roots equal to each but one has a number outside the square root

Answer 13

One without the radical, 2*one with the radical, last number squared
Always positive [

Question 14

When you have a neg. fraction what do you do when solving?

Answer 14

Just plug it in