Ch 5: Polynomial and Rational Functions.
Ch 5: Polynomial and Rational Functions.
Power Functions and Polynomials.
Odd Power Functions.
Even Power Functions.
End Behavior.
Powers and Radicals I
Power Functions and Polynomial Functions.
End behavior of Power Functions.
Intercepts and Turning Points.
Powers and Radicals II
This is the 2nd video on Powers and Radicals.
Powers and Radicals
0:00 Introduction
0:18 Properties of Powers
0:41 Product Rule of Powers
2:57 Power to a Power Rule
5:25 Quotient Rule of Powers
7:45 Zero power
9:11 Negative exponent in the Numerator
11:57 Negative exponent in the Denominator
12:38 Extract Roots: SQRT of 48 and.....
15:46 Activity: Match each expression to an equivalent expression. 18:18 Nth Square Root of x^n when n = 2. f(x) = absolute value of (x). 21:50 Nth Square Root of x^n when n = 3. f(x) = x.
24:03 Nth Square Root of x^n equals Abs(x) when n is even and equals x when n is odd.
24:43 Exponent form of SQRT(x).
26:23 Exponent form of Cubic Root of (x).
27:16 Examples of Rewriting given expressions in Radical form into expressions with Rational Exponent.
29:16 Activity: Fill the empty cells with the right expression with the restrictions.
31:29 The Root of a Product is equal to the product of the roots of each factor.
32:59 Example: Extract the roots and rewrite the cubic roof of ( 8x^6) using Radicals and Powers.