Question

Identify the domain and range of the function graphed below.



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Answer 1

Domain: (-∞, 4]

Range: [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, we see the line's x-value span from negative infinity to 4. Since 4 is closed dot, it is inclusive in the domain:

(-∞, 4] or x ≤ 4

According to the graph, we see the line's y-value span from 0 to infinity. Since 0 is closed dot, it is inclusive in the range:

[0, ∞) or y ≥ 0