Answer:
5) "C"
6) DOMAIN: {-3,-1,2,4,6}
RANGE: {4,1,2,-2,6}
Step-by-step explanation:
Let's solve this by using the quadratic formula:

Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:

And so by evaluating those values we obtain:

Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:

Second Factor:

And so your factors are

meaning that those are your roots/x-intercepts.
Answer: (1,4)
Explanation: The domain looks at the x coordinates and (1,4) is the only x coordinate in the range given (due to the bracket)
Since the square root of 13 is something really weird (3.6055 something) and does not have a clear end or repeats, it is irrational. Solve for the number before assuming anything