Question

Th directions state to sketch the graph of each function and state the domain and range. How is this completed?

Answer 1

The function given is a transformation of the parent function

`y=\left|x\right|`

since there is a -1 inside the function, it means the function is shifted 1 unit to the right.

The +2 that is at the end also means that the function is being placed 2 units up.

finally, the number 3 means the function is being compressed by a factor of 3.

the graph of the function should look like this

As for the domain of the function, according to the graph, we can see that there are no holes, then the domain of the function is:

`\left(-\infty,\infty)\right?`

the range is different since the function does not take place in any values lower than 2, this means that the range is:

`\lbrack2,\infty)`