Exercise 1.

Part I: Use the shifting/reflection techniques to graph the each of the following functions together with ;.[Do them by hands first and verify your answers with a technology].

(1) ;

(2) ;

(3)

(4)

(5) ;

(6)

Part II: Find the corresponding inverse functions for the functions above. [hint: Use the shiftings/reflections to find the corresponding inverses; for example if the original function is shifted up (down) then its inverse will be shifted right (left). If the orignial function is being reflected across ( then its inverse will be reflected across ( ].

Exercise 2. Given f(x) = 3^x+2,

(a) Find g that is being horizontally shifted to the right 3 units from f.

(b) Find h that is being vertically shifted down 5 units from g.

Note: You should be able to do this by hand first and verify your answer with a technology.

Exercise3. Given ,

(a) Find that is being horizontally shifted to the right units from .

(b) Find that is being vertically shifted down units from .

(c) Find the inverse for

Note: You should be able to do this by hand first and verify your answer with a technology.