Question

1. a function is graphed on the set of axes. the domain of this function is a. {x|x > -2} b. {x|x > -4} c. {x|x ≥ -2} d. {x|x ≥ -4}

Explanation:

Step1: Identify left domain boundary

The graph has an open circle at $x=-2$, so $x=-2$ is excluded.

Step2: Identify right domain boundary

The graph extends infinitely right, so no upper limit.

Step3: Define the domain

All $x$ values greater than $-2$.

Answer:

A. $\{x|x > -2\}$