Question

A function is shown below:

f(x) = x3 + 2x2 - x - 2

Part A: What are the factors of f(x)? Show your work. (3 points)

Part B: What are the zeros of f(x)? Show your work. (2 points)

Part C: What are the steps you would follow to graph f(x)? Describe the end behavior of the graph of f(x). (5 points)

Answer 1

Part A: Factor
Part B: Finish solving after factoring
Part C: Plug in any values for x, get the y values, re-write them as (x,y) coordinates and graph.

Answer 2

are you doing y+mx=b

Answer 3

Mm.. I don't think so.

Answer 4

I think the factors are (x+1) (x-1) and (x+2) which would then mean the zeros are -1, 1, -2. And the end behavior would be that the graph falls to the left and rises to the right. But Im not sure how to describe how to graph,

Answer 5

so like a first step factoriz out and will get

x^3 +2x^2 -x -2 = 0

x^2(x+2) -(x+2)=0

do xou can continue it ?

Answer 6

No, I don't think so.

Answer 7

ok

factoriz out the (x+2) and will get

(x^2 -1)(x+2)=0

Answer 8

but you know again that x^2 -1 = (x-1)(x+1)

yes ?

Answer 9

So Im right?

Answer 10

yes the zeros are ok

Answer 11

Yay! Okay, so then describing how to graph, does this sound okay?
"To graph the f(x) you would plot your zeros, then the y-intercept, and draw a parabola through the points. In the end behavior, the graph falls to the left and rises to the right."

Answer 12

why say parabola ? when you know it sure that a function when has a graph of parabola ?when there is an quadratic equation

yes ?

Answer 13

Yes.

Answer 14

so than this mean that your graph will be marked from 3 lines

ok ?

Answer 15

hope so much that you understand it now clearly

Answer 16

Thanks, and I do! Your help is greatly appreciated :)

Answer 17

np

was my pleasure

good luck

bye