Question

What are the domain and range of the function mc009-1.jpg?
domain: all real numbers
range: all real numbers greater than or equal to –5
domain: all real numbers
range: all real numbers greater than or equal to –4
domain: all real numbers between –2.5 and 2.5
range: all real numbers
domain: all real numbers between –2.5 and 2.5
range: all real numbers greater than or equal to –5

Answer 1

I can’t see mc009-1.jpg here — could you upload the image or describe the graph (endpoints, arrows, vertex, intercepts)?

How to choose from your options:
- Domain = all real numbers when the graph extends left and right without bound (arrows). Domain = all real numbers between –2.5 and 2.5 when the graph is only drawn for x in [–2.5, 2.5] (closed dots/ends).
- Range = "all real numbers greater than or equal to a" when the graph has a lowest point at y = a (a closed dot means “greater than or equal to”).
- Range = all real numbers when the graph extends up and down without bound.

Mapping of your choices:
1. domain: all real numbers; range: y ≥ −5
2. domain: all real numbers; range: y ≥ −4
3. domain: −2.5 ≤ x ≤ 2.5; range: all real numbers
4. domain: −2.5 ≤ x ≤ 2.5; range: y ≥ −5

If the graph is an upward-opening parabola with vertex at (0, −5), choose option 1. If you upload or describe the graph I’ll pick the correct option.