Question

Find local minimun value of the
function 'f' given by f(x)= 3+1*1,x€r​

Answer 1

Answer:

read more about the pic of the work book

Answer 2

There is two answer in two one was right

First

Answer is 3

ANSWER

Fact: Absolute value of any number will always non-negative

⇒∣x∣≥0∀x∈R

Therefore f(x)=3+∣x∣≥3+0=3

Hence minimum value of the given function is 3

second

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)