Q. 2 A4.2( 18 Votes )
Find the maximum and minimum values, if any, of the following functions given by
f(x) = |x + 2| – 1
Answer :
It is given that f (x) = |x + 2| – 1
Now, we can see that |x + 2| ≥ 0 for every x ϵ R
⇒ f (x) = |x + 2| – 1 ≥ -1 for every x ϵ R
The minimum value of f is attained when |x + 2| = 0
|x + 2| =0
⇒ x = -2
Then, Minimum value of f = f(-2) = |-2 + 2| - 1 = -1
Therefore, function f does not have a maximum value.
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