Find the maximum and minimum values, if any, of the followingfunctions

1.	Find the maximum and minimum values, if any, of the followingfunctions given by(i) f(x)= \|x + 2\| − 1 (ii) g(x) = − \|x+ 1\| + 3(iii) h(x)= sin(2x) + 5 (iv) f(x) = \|sin 4x + 3\|(v) h(x)= x + 4, x(−1, 1)
Answer» 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(2x) + 5 (iv) f(x) = \|sin 4x + 3\| (v) h(x) = x + 4, x (−1, 1)

Find the maximum and minimum values, if any, of the followingfunctions given by(i) f(x)= |x + 2| − 1 (ii) g(x) = − |x+ 1| + 3(iii) h(x)= sin(2x) + 5 (iv) f(x) = |sin 4x + 3|(v) h(x)= x + 4, x(−1, 1)

Answer»

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(2x) + 5 (iv) f(x) = |sin 4x + 3|

(v) h(x)
= x + 4, x
(−1, 1)