Find the maximum and minimum values

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

2. Find the maximum and minimum values, if any, of the following functions given by (i) f(x)=∣x+2∣−1f(x)=|x+2|-1 (ii) g(x)=−∣x+1∣+3g(x)=-|x+1|+3 (iii) h(x)=sin⁡(2x)+5h(x)=\sin (2 x)+5 (iv) f(x)=∣sin⁡4x+3∣f(x)=|\sin 4 x+3| (v) h(x)=x+1,x∈(−1,1)h(x)=x+1, x \in(-1,1)

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