Question

what are the domain and range of this function?
domain: {x|x ≥ 1}, range: {y|y ≤ 0}
domain: {x|x ≤ 1}, range: {y|y ≤ -1}
domain: {x|x ≥ 1}, range: {y|y ≤ -1}
domain: {x|x ≤ 1}, range: {y|y ≤ 0}

Explanation:

Step1: Identify domain from graph

The graph has a closed dot at $x=1$ and extends left (towards negative infinity), so all $x$ values satisfy $x \leq 1$.

Step2: Identify range from graph

The highest $y$-value is $0$ (at the closed dot), and the graph extends downward (towards negative infinity), so all $y$ values satisfy $y \leq 0$.

Answer:

domain: $\{x | x \leq 1\}$, range: $\{y | y \leq 0\}$