Which of the following function has the greatest rate of change?

a. 14x – 2y = 8
b. y = 6x – 5
c. xy −2−7 −1−2. 03
d. a linear function that goes through point 1, 3 and point 0, negative 2

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.