Mathematics

Problem

2. Find the maximum and minimum values, if any, of the following functions given by (i)

f(x)=|x+2|-1

(ii)

g(x)=-|x+1|+3

(iii)

h(x)=\sin (2 x)+5

(iv)

f(x)=|\sin 4 x+3|

(v)

h(x)=x+1, x \in(-1,1)

(i)

f(x)=|x+2|-1

(ii)

g(x)=-|x+1|+3

(iii)

h(x)=\sin (2 x)+5

(iv)

f(x)=|\sin 4 x+3|

(v)

h(x)=x+1, x \in(-1,1)