Question

Which statement best describes the graph of x3 - 3x2 - x + 3? (4 points)

options:

1) It starts down on the left and goes up on the right and intersects the x-axis at x = -1, 2, and 3.
2) It starts down on the left and goes up on the right and intersects the x-axis at x = -1, 1, and 3.
3) It starts up on the left and goes down on the right and intersects the x-axis at x = -1, 2, and 3.
4) It starts up on the left and goes down on the right and intersects the x-axis at x = -1, 1, and 3.

Answer 1

@robtobey

Answer 2

@amistre64

Answer 3

can you narrow the options any?

Answer 4

either 2, 4?

Answer 5

@amistre64

Answer 6

do we agree that the x^3 part dominates for large values of x?

Answer 7

yes

Answer 8

if so, then we can compare the end behaviour with the graph of x^3, or any odd value degree like x^1

Answer 9

is the graph for y=x, for comparison, lower on the left? or higher on the left?

Answer 10

higher left

Answer 11

hmm, lets try x=-300, then y=-300 negative values are below the x axis

Answer 12

i would contend that it starts low on the left

Answer 13

ohhhh okayy

Answer 14

thank youuu