Question

Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph?

The degree of the first term

The degree of the last term

The coefficient of the first term

The coefficient of the last term

Answer 1

Left end of the graph is where x goes to minus infinity.
−3x^3 + 9x^2 − 2x + 3
From the above at infinity it is always the highest power that matters.

−3x^3 Is the dominant term.
And the -sign tells us that it will be the top of the graph.
So the answer is The coefficient of the first term