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 The minimum value of the function defined by f(x) = max (x, x + 1, 2 – x) is
  • a)
    0
  • b)
    1/2
  • c)
    1
  • d)
    3/2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The minimum value of the function defined by f(x) = max (x, x + 1, 2 &...
Bhai dekh iss func ka graph bana ....mtlb ki f(x) = x, f(x) = x+ 1 aur f(x) = 2 - x , ye teeno func ek hi graph pe.now see, jo f(x) = x aur f(x) = x+1 hai woh to kahi bhi intersect nhi krege qki dono ||ᵉˡ line hai..aur jab tu f(x) = 2 - x ka graph banaega to inn dono ko intersect karte hue jyega.ab jo top most intersection point wohi sbse tagda hoga aur wohi f(x) = max. {x, x + 1, 2 - x} ki value hogi...so, f(x) = x + 1 and f(x) = 2 - x ka intersection iss graph ka top point hai ... to isko solve krke x = 1/2 aa rha hai aur iss x ki value ko f(x) me put krde to uski value 3/2 aayegi...and according to ques the value of f(x) = max. {x, x + 1, 2 - x} is the minimum value of function.i hope u will understand....
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Community Answer
The minimum value of the function defined by f(x) = max (x, x + 1, 2 &...
f(x) = max(x, x+1, 2-x)
y = 2-x
y = x+1
Comparing both the equations, we get
2 - x = x + 1
x = ½
y = 2 - x
y = 2 - (½)
y = 1/3
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The minimum value of the function defined by f(x) = max (x, x + 1, 2 –x) isa)0b)1/2c)1d)3/2Correct answer is option 'D'. Can you explain this answer?
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