Question

what is the domain of the function graphed below? a. real numbers greater than or equal to 0 and less than 4 b. all real numbers greater than or equal to 0 c. all real numbers greater than or equal to -3

Explanation:

Step1: Recall domain definition

Domain is all \( x \)-values the function covers.

Step2: Analyze the graph's \( x \)-start

The graph starts at \( x = -3 \) (the leftmost point, a closed dot, so inclusive) and extends to the right (toward positive infinity).

Step3: Evaluate options

• Option A: Incorrect, as \( x \) starts at -3, not 0.
• Option B: Incorrect, starts at -3, not 0.
• Option C: Correct, since \( x \geq -3 \) matches the graph's domain.

Answer:

C. all real numbers greater than or equal to -3