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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
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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