Which lists all of the x-intercepts of the graphed function?
a] (0,6)
b] (1,0) and (2,0)
c] (1,0) (2,0) and (-3,0)
d] (1,0) (2,0) (-3,0) (0,6)

Keywords:

Graph, function, interceptions, horizontal axis, cut points

For this case we have a function graph and they ask us to find all the intercepts with the x axis. For this we must observe the cut points with the horizontal axis. The cutoff points occur when

Looking at the graph we have:

Thus, the x-intercepts of the graphed function are:

Option C

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.