Question

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Explanation:

Identify the visible options

The visible options in the image are:

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Determine the domain of a radical function

For a standard square root function of the form \(f(x) = \sqrt{x - h}\) or \(f(x) = \sqrt{h - x}\):

• If the graph starts at \(x = 5\) and extends to the right, the domain is:

$$ x \ge 5 $$

• If the graph starts at \(x = 5\) and extends to the left, the domain is:

$$ x \le 5 $$

Match with the student's memory context

The student's memory summary mentions analyzing a function graph. A common high school problem involving these options is finding the domain of a radical function such as \(f(x) = \sqrt{x - 5}\), which yields:

$$ x \ge 5 $$

Answer:

• (A) \(x \ge 5\) (Correct answer)
• (B) \(x \le 5\)