Identify the function based on the description. 1.It is periodic with

1.	Identify the function based on the description. 1.It is periodic with period 2π. 2.Domain of the function is R and the range is [-1, 1] 3.F(x) decreases strictly from 1 to -1 as x increases from 0 to π. [For eg. If x2>x1,F(x1)>f(x2),x ϵ [0,π] 4.F(x) increases strictly from -1 to 1 as x increases from π to 2π. (foreg. If x2>x1,f(x2)>f(x1), x ϵ [π,2π]
Answer» Identify the function based on the description. 1.It is periodic with period $2 π$ . 2.Domain of the function is R and the range is [-1, 1] 3.F(x) decreases strictly from 1 to -1 as x increases from 0 to $π$ . [For eg. If $x_{2} > x_{1}, F (x_{1}) > f (x_{2}), x ϵ [0, π]$ 4.F(x) increases strictly from -1 to 1 as x increases from $π t o 2 π$ . (foreg. If $x_{2} > x_{1}, f (x_{2}) > f (x_{1}), x ϵ [π, 2 π]$

Identify the function based on the description. 1.It is periodic with period 2π. 2.Domain of the function is R and the range is [-1, 1] 3.F(x) decreases strictly from 1 to -1 as x increases from 0 to π. [For eg. If x2>x1,F(x1)>f(x2),x ϵ [0,π] 4.F(x) increases strictly from -1 to 1 as x increases from π to 2π. (foreg. If x2>x1,f(x2)>f(x1), x ϵ [π,2π]

Answer»

Identify the function based on the description.

1.It is periodic with period $2 π$ .

2.Domain of the function is R and the range is [-1, 1]

3.F(x) decreases strictly from 1 to -1 as x increases from 0 to $π$ . [For eg. If $x_{2} > x_{1}, F (x_{1}) > f (x_{2}), x ϵ [0, π]$

4.F(x) increases strictly from -1 to 1 as x increases from $π t o 2 π$ . (foreg. If $x_{2} > x_{1}, f (x_{2}) > f (x_{1}), x ϵ [π, 2 π]$