Rational and Radical Functions

1. Video

2. Radical Function

2.1. Radical Function: is a function whose rule is a radical expression

2.2. Parent Function: y=√x

2.3. Steps: 1) make table graph 2) plot data from table graph 3) find domain and range

2.4. Formula:a√1/b(x-h) +k

3. Similarities

3.1. in each formula; A stands vertical stretch or compression , H horizontal translation , K vertical transnational

3.2. Both use translations of their parent function.

3.3. both are shown by a graph

4. Rational Function

4.1. Rational Function: Function whose rule can be written as a ratio or 2 polynomials

4.2. Parent Function; y=1/x

4.3. Graph: Hyperbola Vertical Asymtote: x=0 Horizontal Asymtote:y=0

4.4. Formula: F(x)=A/x-h +k