Question

every relation has a set of all first elements, called its domain, that are paired with a corresponding set of second elements, called its range. for each relation given, list the elements of its domain and list the elements of its range. use commas to separate entries, as needed.
a. $left{(-4,11), (-1,0), (-11,4), left(-6,\frac{1}{2}
ight)
ight}$
domain: { $\boldsymbol{square}$ } range: { $\boldsymbol{square}$ }
b.

x	y
-4	-6
-1	4
0	-11

domain: { $\boldsymbol{square}$ } range: { $\boldsymbol{square}$ }
c.
domain: { $\boldsymbol{square}$ } range: { $\boldsymbol{square}$ }
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Explanation:

Step1: Extract first elements (domain)

For part a, take the first value from each ordered pair: $-4, -1, -11, -6$

Step2: Extract second elements (range)

For part a, take the second value from each ordered pair: $11, 0, 4, \frac{1}{2}$

Step3: Extract x-values (domain)

For part b, take all values from the x-column: $11, -4, -1, 0$

Step4: Extract y-values (range)

For part b, take all values from the y-column: $\frac{1}{2}, -6, 4, -11$

Step5: Identify x-coordinates (domain)

For part c, read x-values from plotted points: $-3, -2, -1, 0, 2$

Step6: Identify y-coordinates (range)

For part c, read y-values from plotted points: $-4, -3, -2, 1, 3$

Answer:

a. Domain: $\{-4, -1, -11, -6\}$
Range: $\{11, 0, 4, \frac{1}{2}\}$
b. Domain: $\{11, -4, -1, 0\}$
Range: $\{\frac{1}{2}, -6, 4, -11\}$
c. Domain: $\{-3, -2, -1, 0, 2\}$
Range: $\{-4, -3, -2, 1, 3\}$