Question

What are the domain and range of the function on the graph?

The domain includes all integers, and the range is y ≥ 0.
The domain includes all integers, and the range is y > 0.
The domain includes all real numbers, and the range is y ≥ 0.
The domain includes all real numbers, and the range is y > 0.

Answer 1

The domain includes all real numbers, and the range is y > 0.

General Formulas and Concepts:

Algebra I

• Domain is the set of x-values that can be inputted into function f(x)
• Range is the set of y-values that are outputted by function f(x)

Explanation:

According to the graph, the line's x-values span from negative to infinity:

Domain: (-∞, ∞) or all real numbers

According to the graph, the line's y-values span from 0 to infinity. Since we have an asymptote at y = 0, it is not included in the range:

Range: (0, ∞) or y > 0