Question

what are the domain and range of the function? (chart with values -2, 0, 3, 7 on one side and 0, 1, 3, 15 on the other) your answer correct answer: a) domain {0, 1, 3, 15}, range {-2, 0, 3, 7} b) domain {-2, 0}, range {7, 15} c) domain {-2, 7}, range {1, 15} d) domain {-2, 0, 3, 7}, range {0, 1, 3, 15}

Explanation:

To determine the domain and range of a function from a mapping (like the given table - though the visual shows a mapping of inputs to outputs), the domain is the set of all input values (x - values or the first elements of the ordered pairs), and the range is the set of all output values (y - values or the second elements of the ordered pairs).

Looking at the correct answer options, we analyze each:

• For a function, domain is the set of inputs (the left - hand side values in the mapping) and range is the set of outputs (the right - hand side values).
• In the correct option D, the domain is given as \(\{- 2,0,3,7\}\) (these are the input values) and the range is \(\{0,1,3,15\}\) (these are the output values), which matches the definition of domain (all inputs) and range (all outputs) of a function.

Answer:

D. Domain \(\{-2, 0, 3, 7\}\), Range \(\{0, 1, 3, 15\}\)