Question

What are the domain and range of the function below?

mc003-1.jpg
domain: mc003-2.jpg
range: mc003-3.jpg
domain: mc003-4.jpg
range: mc003-5.jpg
domain: mc003-6.jpg
range: mc003-7.jpg
domain: mc003-8.jpg
range:

Answer 1

I can't see the image files you referenced. Could you either

- upload the image (mc003-1.jpg), or
- paste/type the function or a description of the graph (endpoints, holes, asymptotes, etc.),

and I’ll find the domain and range.

If it helps, here’s how you can determine domain and range depending on what you have:

- If you have an algebraic expression:
- Polynomial: domain = all real numbers.
- Rational: exclude x-values that make the denominator 0.
- Square root: require the radicand ≥ 0 (for real-valued functions).
- Logarithm: require the argument > 0.
- Use simplification/hole/cancel checks for removable discontinuities.

- If you have a graph:
- Domain = all x-values covered by the graph (look left-to-right). Include endpoints if the point is solid; exclude if open.
- Range = all y-values covered (look bottom-to-top). Again include/exclude based on solid vs open points.
- Pay attention to vertical/horizontal asymptotes (they indicate values not achieved but approached).

Send the image or the function/graph description and I’ll compute domain and range precisely.