Question

How are solutions of a polynomial function connected to the graph

Answer 1

If you factor a polynomial function, you know how the graph interacts with the x-axis.

The factors are x-intercepts and the order of those factors determines whether the function crosses through, bounces off of, or has an inflection at that point on the x-axis.

Answer 2

what dot you mean inflection

Answer 3

Mmm, if you haven't learned that then it shouldn't have to be part of your answer.
But a point of inflection occurs when a polynomial has a factor to the order 3.

Ex.:
\[x^{3}\]

would look like...

Answer 4

i think i got it ty

Answer 5

YW :)