Let f(x)= (1-\frac{1}{x}) ^2, x>0. Then

Correct Answer is : f is decreasing in (0,1) and increasing in (1,∞)

f is increasing in (0,2) and decreasing in (2, \infty)

f is decreasing in (0,2) and increasing in (2, \infty)

f is increasing in (0,1) and decreasing in (1, \infty)

f is decreasing in (0,1) and increasing in (1, \infty)

KEAM 2023 Math Solved Paper

Question : 76 of 120

Marks: +1, -0

Let f(x)=(1−‌

)2,x>0. Then

f is increasing in (0,2) and decreasing in (2,∞)
f is decreasing in (0,2) and increasing in (2,∞)
f is increasing in (0,1) and decreasing in (1,∞)
f is decreasing in (0,1) and increasing in (1,∞)
f is increasing in (0,∞)

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