Question

use the set of ordered pairs to answer the following questions.\\{$(4, 7), (2, 1), (-3, 6), (3, 4)$\\} \
3 does the set of ordered pairs represent a function? \
\\(\bigcirc\\) a. yes - it is a function. \
\\(\bigcirc\\) b. no - it is not a function. \
\
4 what is the domain of the relation represented by the set of ordered pairs? \
\\(\bigcirc\\) a. 1, 4, 6, 7 \
\\(\bigcirc\\) b. -3, 2, 3, 4 \
\\(\bigcirc\\) c. -3, 1, 2, 3, 4, 6, 7 \
\\(\bigcirc\\) d. all real numbers \
\
5 what is the range of the relation represented by the set of ordered pairs? \
\\(\bigcirc\\) a. 1, 4, 6, 7 \
\\(\bigcirc\\) b. -3, 2, 3, 4 \
\\(\bigcirc\\) c. -3, 1, 2, 3, 4, 6, 7 \
\\(\bigcirc\\) d. all real numbers

Explanation:

Question 3

A function is a relation where each input (x - value) has exactly one output (y - value). In the set of ordered pairs \(\{(4,7),(2,1),(-3,6),(3,4)\}\), the x - values (4, 2, - 3, 3) are all unique. So each input has only one output.

The domain of a relation (set of ordered pairs) is the set of all x - values (the first elements of each ordered pair). From the set \(\{(4,7),(2,1),(-3,6),(3,4)\}\), the x - values are 4, 2, - 3, 3. So the domain is \(\{-3,2,3,4\}\).

The range of a relation (set of ordered pairs) is the set of all y - values (the second elements of each ordered pair). From the set \(\{(4,7),(2,1),(-3,6),(3,4)\}\), the y - values are 7, 1, 6, 4. So the range is \(\{1,4,6,7\}\).

Answer:

A. Yes - It is a function.

Question 4