The function f(x) is represented by this table of values. x f(x) -4 -12 -3 -5 -2 0 -1 3 0 4 1 3 match the average rates of change of f(x) with the corresponding intervals. 1 2 4 6 [-4, -2] arrowright [-2, 1] arrowright [-3, 1] arrowright [-4, 0] arrowright

6 goes with [-4,-2]

1 goes with [-2,1]

2 goes with [-3,1]

4 goes with [-4,0]

Step-by-step explanation:

x     f(x)

-----------

-4    -12

-3     -5

-2      0

-1      3

0      4

1        3

Before I continue, you need to know what f(a) means. f(a) means find x=a and the value that corresponds to it is f(a).

That is f(-4)=-12 from row 1.

That is f(-3)=-5 from row 2.

That is f(-2)=0 from row 3.

That is f(-1)=3 from row 4.

That is f(0)=4 from row 5.

That is f(1)=3 from row 6.

Average rate of change on is given by the formula:

or you could use .

So the average rate of change on [-4,-2] is given by

The average rate of change on [-2,1] is given by

The average rate of change on [-3,1] is given by

The average rate of change on [-4,0] is given by

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

table 3 represents a direct variation function. : )