Question

Which statement best describes the graph of -x3 - x2 + 4x + 4?

t starts down on the left and goes up on the right and intersects the x-axis at x = -2, 2, and 4.

It starts down on the left and goes up on the right and intersects the x-axis at x = -2, -1, and 2.

It starts up on the left and goes down on the right and intersects the x-axis at x = -2, -1, and 2.

It starts up on the left and goes down on the right and intersects the x-axis at x = -2, 2, and 4.

Answer 1

@mathmale

Answer 2

First: a bit of housekeeping. Your "-x3 - x2 + 4x + 4" needs to be written as
f(x) = -x^3 - x^2 + 4x + 4, with the ^ symbol indicating exponentiation.

First question (for you): What does the graph of y=x^3 look like? Could you draw it in the Draw utility, below?

Answer 3

I actually don't really know what it looks like, can you xplain that to me?

Answer 4

It'd be very smart of you to look up basic functions such as y=x, y=x^2, y=x^3, and so on, along with their graphs, and to work at memorizing these basic graphs. You will see these again and again in the future.