Which of the following is a function?
a. (-2,3), (0,3), (1,6), (1,-6)
b. (-2,4), (0,3), (1,6), (-1,2)
c. (1,3), (2,4), (1,5), (2,3)
d. (1,-1), (2,-2), (1,-3), (4,-4)

  B. (-2,4), (0,3), (1,6), (-1,2)

Step-by-step explanation:

The list of first numbers for a function is a list of unique numbers.

  A: 1 is repeated

  B: the 4 pairs have 4 different first numbers: {-2, -1, 0, 1}

  C: 1 and 2 are repeated

  D: 1 is repeated

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.