University:
Concordia University Wisconsin
Course:
MATH 1970 | Applied Calculus
Academic year:

2022
Views:

148

Pages:

7
Author:

kundgetanufv

Pre Calculus Math Radical and Rational Functions Review RADICAL AND RATIONAL FUNCTIONS REVIEW Name: ________________ Block: Key Date: ________________ Total: _____ / 112 = _____% Page 1 of 14 Unit 2 Pre Calculus Math Radical and Rational Functions Review 1. Sketch the graph of the following functions. State the domain and range. y = 2√x+3 Vertical expansion by 2 HT 3 left (Graph) There's a graph with a curve starting at (-3,0) and going to the right. Points are plotted at: (-3,0) (-2,2) (1,4) (6,6) x+3≥0 x≥-3 (m,n) -> (m-3, 2n)* (0,0) -> (-3,0) (1,1) -> (-2,2) (4,2) -> (1,4) (9,3) -> (6,6) Domain: x ≥ -3 Range: y ≥ 0 2. Identify the transformations for each of the following from y = √x a. y = √(x-3) x -> x Horizontal Compression by 1/4 x -> x-3 Horizontal Translation 3 Right b. y = -√(4x+8) - 1 y = -√4(x+2) - 1 x-> 4x H.C. by 1/4, x-> x+2 HT 2 left y -> -y Reflection in x-axis y-> y-1 VT 2 down c. y +3 = 1/3√(-x+1) y+3= 1/3√-(x-1) x-> -x Reflection in y-axis x-> x+1 HT 1 left y-> 3y V.C by 1/3, y-> y-3 VT 3 down

Radical and Rational Functions Review Key

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