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Let f(x){{:(max.{absx,x^2}","" "absxle...

Let `f(x){{:(max.{absx,x^2}","" "absxle2),(" "8-2absx","" "2ltabsxle4):}`.Let S be the set of points in the intercal (-4,4) at which f is not differentible. Then S

A

is an empty set

B

equals {-2,-1,1,2}

C

equals {-2,-1,0,1,2}

D

equals {-2,2}

Text Solution

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The correct Answer is:
C
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f(x)={{:(x^(2)", "xle2),(8-2x", "2ltxlt4),(4", "xge4):}

Knowledge Check

  • Let f(x)=sqrt(1+x^(2)) then

    A
    `f(xy)=f(x)*f(y)`
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    `f(xy)gef(x)*f(y)`
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    R
    B
    `(1,oo)`
    C
    `(-1,oo)`
    D
    `(-oo,1]`
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