Question

let f(x)=-2x<0
0 x>0
which of the following us equivalent
A.f(x)=x - absolute value x
B.f(x)=2 absolute value x
C.f(x)=2x
D.f(x)=absolute value x-x
E.f(x)=x+absolute value x

Answer 1

@sidsiddhartha can u help me

Answer 2

do u know what is meaning of absolute value of a function

Answer 3

yea

Answer 4

ok so first let's take a example
\[f(x)=absolute(x)\]
so
\[f(x)=x,x \ge 0\]\[f(x)=-x,x \le 0\]
ok ??

Answer 5

yea

Answer 6

so according to this theorem try option D
\[f(x)=absolute(x)-x\]
so
\[f(x)=-x-x=-2x,x<0\]
and
\[f(x)=x-x=0,x>0\]
so option D satisfies the conditions

Answer 7

do u get it?

Answer 8

yea can u hlp me with a few more

Answer 9

which interval does the inequality absolute value <3 define
A.(-8,3)
B.(-3,3)
C.(0,3)
D.(3,8)

Answer 10

absolute value what?

Answer 11

of X sorry