Question

For the given table of values for a polynomial function, where must the zeros of the function lie?
SOMEBODY PLEASE HELP ME WILL MEDAL AND FAN!!!

A) between 3.0 and 3.5 and between 4.0 and 4.5

B) between 3.5 and 4.0 and between 4.0 and 4.5

C) between 4.0 and 4.5 and between 4.5 and 5.0

D) between 3 .5 and 4.0 and between 4.0 and 4.5

E) between 3 .5 and 4.0 and between 5.0 and 5.5

Answer 1

wut u think

Answer 2

x f(x)
3.0 4.0
3.5 -0.2
4.0 -0.8
4.5 0.1
5.0 0.6
5.5 0.7

Answer 3

@GracieFerrell wut u think

Answer 4

i think ur right

Answer 5

huh? I didn't choose an answer yet

Answer 6

i think its c

Answer 7

@TheAsker2002 @jackmullen55 @welshfella

Answer 8

@babeehrona12

Answer 9

@phi

Answer 10

, where must the zeros of the function lie?

they are asking when is f(x) 0 ?
look at your table. do you see that f(x) changes as x changes ?

Answer 11

yes it changes

Answer 12

f(x) when x is 3 is what ? (look at the first line)

Answer 13

4.0

Answer 14

now a little later (think of x as time), at x= 3.5 , what is f(x) ?

Answer 15

-0.2

Answer 16

now if f(x) changes smoothly with no jumps, from 4 to -0.2 , it must have be 0 somewhere between x=3 and x= 3.5

Answer 17

think of f(x) as temperature , for example
at 3 it is +4 degrees
at 3.5 it is -0.2 degrees
it fell from 4 down to -0.2, and must have been 0 at some point, right ?

Answer 18

yeah thank u

Answer 19

so part of the answer is there is a zero between x=3 and x=3.5
there is only one choice with that option.

Answer 20

choice A

A also says there is a zero between 4.0 and 4.5
if we look at x=4 , f(x) is -0.8
a little later, at x=4.5, f(x) is +0.1

so from 4 to 4.5, f(x) went from negative to positive, and must have crossed 0
so choice A looks good.

Answer 21

thanks

Answer 22

yw