A linear function is a straight line, so that's clearly not it
A quadratic function has one point where is switches from going up to going down (or down to up), but this has two, so that's not it.
A cubic function has 2 points where it goes from down to up or up to down, so this may just work.
An exponential function has a constant to the power of something, so it's either staying constantly up or down after 0 or jumping up and down with every x value, which it isn't doing.
Logarithmic functions are similar to exponential functions in that it usually stays either going up or down the whole time.
Using our definitions, a cubic function is the only one that fits

We need to find the points x where

This can only happens if both, the numerator and the denominator have the same sign, that is

or

The first pair of inequalities leads to the set

and the second

Then, the answer is
6x+8=-3x-10
9x=-18
x=-2
-3(-2)-10=-4
So x=-2 and y=-4
Step-by-step explanation:
wow