What is the domain of the square root function graphed below?

What is the domain of the square root function graphed below?

December 5, 2024

Image 1:

what is the domain of the square root function graphed

Question: What is the domain of the graphed function?

A) x>1x > 1
B) x1x \geq 1
C) x>3x > 3
D) x3x \geq 3

Answer: B) x1x \geq 1

Explanation:

Step 1: Identify the function's domain

The graph starts at x=1x = 1 and extends to the right. This indicates that the function is defined for all xx values greater than or equal to 1.

Step 2: Understand inequality notation

The inequality x1x \geq 1 means xx is greater than or equal to 1, matching the graph's behavior.


Image 2:

what is the domain of the square root function graphed

Question What is the domain of the square root function graphed below?

A) x1x \leq -1
B) x1x \geq -1
C) x0x \leq 0
D) x0x \geq 0

Answer: B) x1x \geq -1

Explanation:

Step 1: Determine the starting point

The square root function begins at x=1x = -1 and extends to the right. The square root function is undefined for values less than 1-1.

Step 2: Apply inequality constraints

The inequality x1x \geq -1 corresponds to the graph, where xx includes 1-1 and all larger values.