Where is the graph of f(x)=4[x-3]+2 discontinuous? all real numbers all integers all multiples of 3 all multiples of 4 70 pts

Answer : f(x)=4[x-3]+2 discontinuous in all integers

f(x) is a floor function

Floor function gives the greatest integer < = given nnumber. Floor function always gives the greatest integer output.

For example , floor (2.25) = 2

2 is the greatest integer less than or equal to 2.25

f(x)=4[x-3]+2

When x= 1, then y = 4(-2) +2 = -6

When x= 1.5, then y= 4(-2) +2 = -6 [floor (1.5-3) = floor (-1.5) = -2]

When x= 2, then y= 4(-1) +2 = -2

When x= 2.5, then y= 4(-1) +2 = -2 [floor (2.5-3) = floor (-0.5) = -1]

When x= 3, then y= 4(0) +2 = 2

When x= 3.5, then y= 4(0) +2 = 2 [floor (3.5-3) = floor (0) = 0 ]

We can see that the y value changes for every integer like x=1, 2, 3 and so on

So answer is all integers.

i don't even know man. edge inuity be messing with us. i had to ask a question too.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.