Question

Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help

Answer 1

Domain: [0, 4]

Range: [0, 4]

Function? Yes

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)

• Vertical Line Test - no function can have the same x-value for different y-coordinates

Explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.