Find Domain & Range...1

R (all real numbers)

range: {y element R : y>=0} (all non-negative real numbers)

 

Is it possible to find the domain and range of the given function algebraically?

 

yes, you can plug in any positive or negative number for x and x^2,x^4, and x^6 will be positive number
and you already know that range of log function is always >=0

 

What does the graph of this function look like?

 

Almost looks like a cosine graph located differently.