Describe how the graph of each function differs from the graph of f(x)=|x|. then determine the domain and range. a. g(x)= 0.6|x| b. g(x)= 4|x−3| c. g(x)= −|x+1|+5

A. We can compress the graph of the function in the y-direction by multiplying the whole function by a constant C, such that Since , the graph of the function is obtained from the graph of the function   by compression in the y-direction.

B. We can stretch the graph of the function in the y-direction by multiplying the whole function by a constant C, such that Since , the graph of the function is obtained from the graph of the function   by compression in the y-direction and translation 3 units to the right.

C. We can flip the graph of the function   upside down by multiplying the whole function by −1, then translate 1 unit to the left and 5 units up. Then we will get the function