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10/15 for the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domai…

Question

10/15
for the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
d: {1, -3, -4,}
r: {0, 1, 2, -4}
d: {-4, 0, 1, 2}
r:{-4, -3, 1}
d: {0, 1, 2, 3, 4}
r:{1, -3, -4}
d: {0, 1, 2, -4}
r: {1, -3, -4, 1}

Explanation:

Step1: Identify domain values

The domain of a function given as ordered pairs is the set of all first elements of the pairs. For the function $\{(0,1), (1,-3), (2,-4), (-4,1)\}$, the first elements are $0, 1, 2, -4$.

Step2: Identify range values

The range is the set of all unique second elements of the pairs. The second elements are $1, -3, -4, 1$; removing duplicates gives $1, -3, -4$.

Step3: Match to options

Compare the domain $\{-4, 0, 1, 2\}$ (ordered for clarity) and range $\{-4, -3, 1\}$ to the provided choices.

Answer:

B. D: {-4, 0, 1, 2}
R:{-4, -3, 1}