Question

what is the domain of the function represented by this graph?

all real numbers
(x \ge 4)
(x \le 0)
(-2 \le x \le 2)

Explanation:

Identify the function type from the graph

$$ y = x^2 - 4 $$

Determine the domain of the quadratic function

$$ \text{Domain} = (-\infty, \infty) $$

Match with the given options

$$ \text{Domain} = \text{all real numbers} $$

Answer:

• all real numbers (Correct answer)
• \(x \ge 4\)
• \(x \le 0\)
• \(-2 \le x \le 2\)