Question

PLEASE HELP!!!
Given the piecewise function shown below, select all of the statements that are true.(i will add the equation soon)
A) f(-1)=2
B)f(-2)=0
C)f(1)=0
D)f(4)=7

Answer 1

\[f(x)=\left\{ -x+1,x <0 \right\}\left\{ -2,x=0 \right\}\left\{ x^{2} -1,x >0\right\}\]

Answer 2

\(-1<0\) right?

Answer 3

yea

Answer 4

meaning to find \(f(-1)\) you use the first equation

Answer 5

so i just plug in -1 for the x?

Answer 6

yes

Answer 7

so A is one of the correct statements?

Answer 8

yes

Answer 9

then for f(-2)=0 i plug it in the same equation?

Answer 10

for \(f(-2)\) you plug \(-2\) in to the same equation, since \(-2<0\)

Answer 11

okay and i get 3 when i plug it in

Answer 12

yeah so second one is not true

Answer 13

okay so then i plug in the f(1)=0 in the first equation and get 0 so does that mean its correct??

Answer 14

\(1>0\) so you use the last equation

Answer 15

so yes, it is correct

Answer 16

how do you know which equation to use?? @Satellite73

Answer 17

look to see which is true about your input

Answer 18

if it is less then zero use \(-x+1\)
if it is 0, use \(-2\)
if it is greater than zero use \(x^2-1\)

Answer 19

so for f(4)=7 i would plug it in to the last equation

Answer 20

\[f(x) = \left\{\begin{array}{rcc}
-x+1 & \text{if} & x <0 \\
-2 & \text{if}&x=0\\
x^2-1& \text{if} & x>0
\end{array}
\right.
\]
is how it should read

Answer 21

ok i see why you would be confused
the question is goofy
they should just ask "what is \(f(7)\) ?"

Answer 22

i mean "what is \(f(4)\)?"

Answer 23

even i got confused
since \(4>0\) use the last equation

Answer 24

okay and i get 15

Answer 25

so would it be false? but i still don't really get how its true or false

Answer 26

so only A and C are correct????

Answer 27

A is

Answer 28

and C

Answer 29

thank you so much