Question

Which of the following graphs represents the function f(x) = x4 − 2x3 − 3x2 + 4x + 1?

Answer 1

You need to show us the graphs first :)

Answer 2

it should have 3 local max/min
it should "zoom up" at either end
it should go through the point (0,1)

Answer 3

"it should "zoom up" at either end" because your highest power here is x^4, which is an even function. As x becomes increasingly large, the graph of the given fourth order function of x will look more and more like the graph of y=x^4.

Let x=0 in the given function. What's the resulting y-value? phi's "it should go through the point (0,1)" is correct; this point is known as the "y-intercept" of the graph.

Your thoughts, please?