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To answer this question, think about how and when a polynomial function crosses the x-axis.

I don't know anything about polynomial functions and have to complete this course this week!

well one of the intercepts could be through the y-axis

A polynomial function crosses the x-axis at its roots.

That is, for example, \[f(x) = ax^3+bx^2+cx+d = 0\]

|dw:1435166171785:dw|

The roots of a polynomial function are the values of x such that \[f(x) = 0\]

Now, notice that a n-order polynomial can have at most n roots at any time.

:/ I'm confused

Yes, exactly. I wanted to paint that point in the end.

- that way they can both be right

yes.

Furthermore, they can only cross the y-axis exactly once.

Otherwise, it will violate the straight line test.

- yep thats true

Okay, so then what is the next step?

To conclude, the answer to your question is that both propositions are correct.

No - they are both right because Heinz only refers to the x-axis.

okay ? could y'all help with questions related to this?

I would but gotta go right now sorry