Question

what are the domain and range of this function?\\
(-2, -9)\\
(-1, 5)\\
(-6, 4)\\
(4, -5)\\
(0, 2)\\
domain: {-6, -2, -1, 4, 5}\
range: {-9, -5, 0, 2, 4}\
\
domain: {-6, -2, -1, 4, 5}\
range: {-9, -5, 2, 4, 5}\
\
domain: {-6, -2, -1, 0, 4}\
range: {-9, -5, 0, 2, 4}\
\
domain: {-6, -2, -1, 0, 4}\
range: {-9, -5, 2, 4, 5}

Explanation:

Step1: Identify domain values

The domain is the set of all input (x-values) from the given ordered pairs: $(-2, -9), (-1, 5), (-6, 4), (4, -5), (0, 2)$. Extract x-values: $\{-6, -2, -1, 0, 4\}$

Step2: Identify range values

The range is the set of all output (y-values) from the ordered pairs. Extract y-values: $\{-9, -5, 2, 4, 5\}$

Answer:

domain: $\{-6, -2, -1, 0, 4\}$
range: $\{-9, -5, 2, 4, 5\}$