Question

what are the domain and range of this function?
(0, 2)
(6, -6)
(2, 4)
(-5, -6)
(-2, 1)

domain: {-5, -2, 2, 6}
range: {-6, 1, 2, 4}

domain: {-5, -2, 2, 6}
range: {-6, 0, 1, 2, 4}

domain: {-5, -2, 0, 2, 6}
range: {-6, 0, 1, 2, 4}

domain: {-5, -2, 0, 2, 6}
range: {-6, 1, 2, 4}

Explanation:

Step1: Identify domain values

The domain is the set of all x-values from the ordered pairs: $(0, 2)$, $(6, -6)$, $(2, 4)$, $(-5, -6)$, $(-2, 1)$. Extract x-values: $\{0, 6, 2, -5, -2\}$, sorted as $\{-5, -2, 0, 2, 6\}$.

Step2: Identify range values

The range is the set of all y-values from the ordered pairs. Extract y-values: $\{2, -6, 4, -6, 1\}$, remove duplicates and sort: $\{-6, 1, 2, 4\}$.

Answer:

domain: $\{-5, -2, 0, 2, 6\}$
range: $\{-6, 1, 2, 4\}$