Unit 6: Radical and Rational Functions MATH 30-1

Describe the transformations necessary to transform the graph of f (x) into that ofgtx). 1)f(x)=v'; g(x) = gap, 2) + 2 3'3 Write an equation for the funetions shown. Use the form J: = ax- b(x h) + k. 2) {2 Given the graph of f (x) , graph y: N" f (x) List th domain and range of EACH graph and list the EXACT VALUES of any invariant points. 3) Describe the transformations necessary to transform the graph of f(x) into that of g(x-). 1) /(x) = VX g ( x ) = - - V-(x+2)+2 /3 Write an equation for the functions shown. Use the form y= a Vb(x - A) + 4. 2) /2 Given the graph of f(x) , graph y= \f(x). List th domain and range of EACH graph and list he EXACT VALUES of any invariant points. 3) 13 -1-For each function, sketch a graph of y = \ f(x). Then state the domain and range of y = \ f(x) 4) f(x) = x' - 2x' -4 3) 12 3 5 - /4 Write a possible equation for the following graphs. Explain your reasoning. 6) 12 For each function, identify the holes, intercepts, horizontal asymptote, and domain. Then sketch the graph. 7) f(x)= * - 5x* + 4x -2x + 18x /3