Unit 6 Flashcards
Perfect Cubes
1, 8, 27, 64, 125, 216, 343, 512, 729, 1,000
Perfect Fourths
1, 16, 81, 256, 625, 1,296, 2,401, 4,096, 6,561, 10,000
Even Roots
Positive and negative
Odd Roots
Pay attention to signs, only one
Odd Index Positive Radicand
One real root
Steps to Multiplying Radicals
- Multiply coefficients, then use product rule
- Simplfy
nth Root of a
n^1/n
nth Root Raised to the mth Power
n^m/a
Radical Number Must Be
Bigger to take out
Steps to Solve Radical Equations
- Isolate the radical on one side of the equation
- Raise each side of the equation to the power of the index to eliminate the radical sign
- Solve remainign equation
- Check for extraneous solutions
Positive Root t Table
No negative numbers
Square Root Parent Function
f(x) = √x
Cube Root Parent Function
f)x_ = ^3√x
Endpoint/Turning Point
(h, k)
Cube Root t Table
-8, -1, 0, 1, 8
Square Root t Table
Can NOT have negative values
Turning Point t Table
Middle of table
Two Functions Are Inverse If and Only If
f(g(x))=x and g(f(x))=x
Inverse Solution
Dotted triangle f+g are inverse
Negative Exponents
Become fractions
