Graph the function fx- -1 - if x0- fx is defined for

The correct option is D all realsGiven function is Signum function #160; f( x ) = |x| x which is defined for all real values ,So, option D is correct. ...

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Byju's Answer

Standard XII

Mathematics

f(x) Transforms to -f(x)

Graph the fun...

Question

Graph the function $f (x) = ⎧ ⎨ ⎩ \begin{matrix} - 1 & , i f x < 0 0 & , i f x = 0 1 & , i f x > 0 \end{matrix}$ .
$f (x)$ is defined for

all naturals

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all integers

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all rationals

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all reals

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Solution

The correct option is D all reals
Given function is Signum function
$f (x) = \frac{| x |}{x}$
which is defined for all real values ,
So, option D is correct.

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Graph the function f(x)=⎧⎨⎩−1,if x<00,if x=01,if x>0. f(x) is defined for

The correct option is D all realsGiven function is Signum function f(x)=|x|xwhich is defined for all real values ,So, option D is correct.

Graph the function $f (x) = ⎧ ⎨ ⎩ \begin{matrix} - 1 & , i f x < 0 0 & , i f x = 0 1 & , i f x > 0 \end{matrix}$ .
$f (x)$ is defined for

The correct option is D all reals
Given function is Signum function
$f (x) = \frac{| x |}{x}$
which is defined for all real values ,
So, option D is correct.