Question

what is the domain of the square root function graphed below?
options:
x > 1
x ≥ 1
x > 3
x ≥ 3

Explanation:

Step1: Identify the starting point

The graph of the square root function has a starting point (the vertex of the square root - like graph). From the graph, we can see that the left - most point (the starting point of the graph) has an x - coordinate of 3. Since the graph includes this point (it's a closed dot), we know that x can be equal to 3.

Step2: Determine the domain direction

The square root function graph extends to the right from the starting point. So the values of x start at 3 (inclusive) and go to positive infinity. So the domain of the function is all real numbers x such that \(x\geq3\).

Answer:

\(x\geq3\) (corresponding to the option: \(x\geq3\))