Question

what are the domain and range of this function?
(2, 10)
(7, -9)
(10, -10)
(-4, -4)
domain: {-10, -4, -2, 7} range: {-9, -4, 10}
domain: {-4, 2, 7, 10} range: {-9, -4, 10}
domain: {-4, 2, 7, 10} range: {-10, -9, -4, 10}
domain: {-10, -4, -2, 7} range: {-10, -9, -4, 10}

Explanation:

Step1: Identify domain values

The domain of a function given as ordered pairs $(x,y)$ is the set of all $x$-values. From the pairs $(2, 10)$, $(7, -9)$, $(10, -10)$, $(-4, -4)$, the $x$-values are $2, 7, 10, -4$.

Step2: Identify range values

The range is the set of all $y$-values. From the pairs, the $y$-values are $10, -9, -10, -4$.

Step3: Match to correct option

Organize the domain as $\{-4, 2, 7, 10\}$ and the range as $\{-10, -9, -4, 10\}$, then find the matching choice.

Answer:

domain: $\{-4, 2, 7, 10\}$
range: $\{-10, -9, -4, 10\}$