Select is a function or is not a function to correctly classify each relation.

{(3, 2), (6, 4), (9, 6), (12, 8)}   is a function

{(2, 3), (2, 5), (3, 6), (9, 4)}    is not a function

{(2, 4), (6, 3), (4, 8), (6, 6)}    is not a function

{(3, 4), (5, 2), (6, 8), (6, 4)}    is not a function

To test if a relation is a function from a set of ordered pairs, you just need to check if each element of the domain is paired with exactly one element of the range. Remember that the domain is all the x-values (first points of each ordered pairs) and the range is all the y-values (second points of each ordered pairs).

Let's test each one of our relations:

{(3, 2), (6, 4), (9, 6), (12, 8)} each element of the domain is paired with exactly one element of the range, so this one is a function.

{(2, 3), (2, 5), (3, 6), (9, 4)}  2 in the domain is paired with both 3 and 5 in the range, so this one is not a function.

{(2, 4), (6, 3), (4, 8), (6, 6)}  6 is paired with both 3 and 6, so this one is not a function either.

{(3, 4), (5, 2), (6, 8), (6, 4)}  6 is paired with both 8 and 4, so this one is not a function either.

muyb ajo

step-by-step explanation:

jegosu

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841