Answer:
The function rule is

Step-by-step explanation:
The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)
We can observe the following pattern.





When we generalize this pattern, we obtain:

This is the function equation.
The function rule is

You can't. If you think about the straight line on a graph, those numbers
describe a single point that the line goes through, and they don't tell you
anything about the slope of the line, or where it crosses the x-axis or the
y-axis. So I don't think you can tell the constant of variation from one point.
The expression that can be used to approximate the expression below is
- Given the logarithmic function expressed as
, we need the log expression that is equivalent to the given expression.
- To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

This is similar to the option c where the base of "b" was used as 
Learn more on law of logarithms here: brainly.com/question/11587706