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What is the minimum value of f(x)= |2x -...

What is the minimum value of `f(x)= |2x - 5|+6` ?

A

2

B

3

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
The minimum value of the absolute value expression is `0 ("when " x =(5)/(2))` since it cannot have a negative value. `f((5)/(2))=|2((5)/(2))-5|+6=6`. So 6 is the minimum value of the function.
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