Math, asked by pranay9018, 7 days ago

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Answered by manasikakarwal123
1

Answer:

hopw it's help of it then plz make me brainlist

correct option is d

Step-by-step explanation:

{0,−sin 1}

f(x)=sin[x], where

4

−π

<x<

4

π

We divide the range into two parts,

(a)

4

−π

<x<0

⇒[x]=−1

∴f(x)=sin(−1)=−sin1

(b) 0<x<

4

π

⇒[x]=0

∴f(x)=sin0=0

Thus, the range of f(x) becomes {0,−sin1}

Answered by kvnmurty
1

Answer:

(b) {0, -1 }.

Step-by-step explanation:

f(x) = Sin [ x ] , - π/4 ≤ x ≤ π/4, where [ x ] is the greatest integer function.

Range of f(x) is: ??

In the domain -π/4 ≤ x < 0, Sin [ x ] = -1

0 ≤ x ≤ π/4, Sin [ x ] = 0.

The range will be = R(f(x)) = { -1, 0 } .

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