Question

Find the domain and range of the function pictured in the graph below. Give the domain and range as an interval For example IF it were (-0,4) U (4,00) *Note: Two Zero's stand for infinity sign*Domain: Range:

Answer 1

The domain of a function is all the values a function can have along the x-axis and is defined, and the range is all the values a function can take placed for all x that define the function.

According to this we can see there is an asymptote at x=1, meaning that the function is not defined at this value and the domain will be all numbers different to x=1.

`(-\infty,1)\cup(1,\infty)`

As for the range the function can take all numbers along the y axis which means that the range is

`(-\infty,\infty)`