The range of - x -2- x -5- is A- -2- -B- -3- -C- -4- -D- -5- -

The correct option is B f(x)= | x 2 |+ | x 5 | and domain f=R For x lt;2,f(x)=2 x+5 x=7 2x gt;3; For x gt;5,f(x)=x 2+x 5=2x 7 gt;3; Range f=[3, ∞) ...

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Standard XII

Mathematics

Using Monotonicity to Find the Range of a Function

The range of ...

Question

$T h e r a n g e o f | x - 2 | + | x - 5 | i s$

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Solution

The correct option is B
$f (x) = | x - 2 | + | x - 5 | a n d d o m a i n f = R F o r x < 2, f (x) = 2 - x + 5 - x = 7 - 2 x > 3; F o r x > 5, f (x) = x - 2 + x - 5 = 2 x - 7 > 3; R a n g e f = [3, \infty)$

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The range of |x−2|+|x−5|is

The correct option is B f(x)=|x−2|+|x−5| and domain f=RFor x<2,f(x)=2−x+5−x=7−2x>3;For x>5,f(x)=x−2+x−5=2x−7>3;Range f=[3,∞)

$T h e r a n g e o f | x - 2 | + | x - 5 | i s$

The correct option is B
$f (x) = | x - 2 | + | x - 5 | a n d d o m a i n f = R F o r x < 2, f (x) = 2 - x + 5 - x = 7 - 2 x > 3; F o r x > 5, f (x) = x - 2 + x - 5 = 2 x - 7 > 3; R a n g e f = [3, \infty)$