Question

Find the maximum and minimum values, if any, of the following functions given by
f(x) = |x + 2| – 1

Answer 1

Answer:

ANSWER

(i)f(x)=∣x−2∣−1

Minimum value of ∣x−2∣=0

Minimum value of f(x)=minimum value of ∣x−2∣−1

=0−1=−1

Minimum value of f(x)=−1→(x=−2)

f(x) has no maximum value.

(ii)f(x)=−∣x+1∣+3

∣x+1∣>0

⇒−∣x+1∣<0

Maximum value of g(x)=maximum value of −∣x+1∣+3

=0+3=3

Maximum value of g(x)=3

There is no minimum value of g(x)

Answer 2

values, if any, of the following functions given by ( i) f () = (2 ... 0 Minimum value of (2− 1^2 )+3 = 0 + 3 = 3Also, there is no

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