Which equation could possibly represent the graphed function? A. f(x) = (x − 4)(x + 2)(x + 4) B. f(x) = (x − 4)2(x − 2) C. f(x) = (x + 4)2(x + 2) D. f(x) = (x − 4)(x − 2)(x + 4)

2 is the final ! : )

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.