Its is a function. mentally connect the dots. run your pencil across the paper parallel to the y-axis. if none of the points have touch the pencil it is a function. another way to check. look at the X value of all the coordinates. if they are all different its a function.
By synthetic division,
-5 | 1 -6 -42 79
. | -5 55 -65
- - - - - - - - - - - - - - - - -
. | 1 -11 13 14


When

, you're left with a remainder of 14.
1/6 is the only one that repeats forever. 0.16666666666etc.
We can find the acceleration via

We have


Then by definition of average acceleration,

so that


We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

Then

