Which table shows a function that is decreasing only over the interval (–1, ∞)?

a 2-column table with 6 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. the second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.

a 2-column table with 6 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. the second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.

a 2-column table with 6 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. the second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6.

a 2-column table with 6 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. the second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.

what are your

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)

we are given scale of 2 units.

on graph paper the space is 2.5 cm.

length of glass = 8 units.

8 units = 2 units +2 units +2 units +2 units.

each 2 unit is = 2.5cm.

therefore,

8 units = 2 units +2 units +2 units +2 units = 2.5+2.5+2.5+2.5= 10cm.