Question

State the domain and range of the function:
domain:
range:​

Answer 1

Domain: [-5, 1)

Range: (5, 1]

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, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:

[-5, 1)

According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:

(5, 1]