how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of points to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible

Step-by-step explanation:

You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following

The exterma: The maximum/minimum points on a certain interval.

The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.

Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.

And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.

That it. If you need an example, just ask me

i dont know the answer but here's a picture of a dog

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368