Since your function does not move left or right, the domain will remain the same as the reflection across the x-axis will still remain all real numbers except zero. A vertical compression and horizontal stretch will not affect the domain or range. Since the graph is moving down 5 units this will affect the range of the function. Everything will shift down 5 units. Therefore an original range of -8<y<2 or 2<y<infinity will now be -2<y<8 or -infinity<y<-2 reflected across the x-axis. Shifted 5 down will be -7<y<3 or -infinity < y < -7

Therefore:

**Domain:** `(-oo,0) uu (0,oo)`

all real #'s excluding zero

**Range:** `(-7, 3) uu (-oo, -7)`

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now