Question

How do you determine end behavior of a polynomial function?(pic below)

Answer 1

you can insert large values of x and see what it does :)

Answer 2

its not as hard as the notation suggests
you can figure out how the polynomial behaves on extremes by using leading coefficient and degree

you could also simply graph it and *see* whats going on

Answer 3

your zeros are at x=0, -1/2, and -1

so anything less than -1 and bigger than 0 should tell us how its playing in the ends

Answer 4

@amistre64 Okay thanks, I tried those and got A, is that correct?

Answer 5

this is what we get if we graph the function
https://www.desmos.com/calculator/rtosgpklrp

Answer 6

you can zoom out using scroll wheel down on mouse, that gives you end behavior

Answer 7

@perl Oh so does that mean this is D?

Answer 8

you sure you got A?

Answer 9

@amistre64 No I think it's D now but I'm not sure I was hoping you could check

Answer 10

if x < -2 (had a -1 by mistake)

-(-)(-)(-) = ++ = +


if x > 0

-(+)(+)(+) = -

Answer 11

if we multiply the x parts:

-x(2x)(x) = -2x^3

for sufficient large value of x, say x=-100 and x=100

f(-) = -2(-100)^3 = 2000000
f(+) = -2(100)^3 = -2000000

Answer 12

id go with D

Answer 13

the -2 is rather spurious, and we could have just gone with the -x^3 as a basis for it

Answer 14

thanks

Answer 15

yep