Testing your ability to understand and interpret graphs What

Testing your ability to understand and interpret graphs: What is the domain and range of the following function given the graph of the function: f(x)=ln(x^3+2x^2-4x-8) Look at the graph below, and write the formula for the following piecewise function.

Solution

a) only considering what is sh0wn the graph

domain is (2,10)

range is (0,7)

actually for ln(x^3 +2x^2 -4x -8)

domain is (2,infinity)

range is (0,infinity)

2)piece wise function is

f(x)=-3, -5<=x<-3

f(x)=-2, -3<=x<-1

f(x)=-1, -1<=x<1