Question

The function f(x) = StartRoot negative x EndRoot is shown on the graph. On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2). Which statement is correct?

Answer 1

From the given graph of f(x) = √-x. The domain of the function is all real numbers less than or equal to 0.

If the domain of a function is specified as "all real numbers less than or equal to 0," it means that the function is defined only for values of the independent variable (usually denoted as 0.

x) that are less than or equal to 0.

The domain is x ≤ 0

Domain interval notation: (-∞, 0)

The range is f(x) ≥ 0

Range interval notation: (0, ∞)

The domain of the function is all real numbers less than or equal to 0.

Answer 2

Step-by-step explanation:

From the given graph of f(x) = √-x

After analyzing,

• The domain is x ≤ 0

• Domain interval notation: (-∞, 0)

• The range is f(x) ≥ 0

• Range interval notation: (0, ∞)

Above from all options, D.) The domain of the function is all real numbers less than or equal to 0.