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what is the range of f(x)=|x-3|+2?

Algebra
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what is the range of f(x)=|x-3|+2?

Jul 24th, 2014

f(x)=|x-3|+2

Note that |x-3| >= 0 for all real x

               |x-3| >= 0

So Now adding 2 on both sides of equality, we get

              |x-3| + 2 >= 0 + 2

So          |x-3| + 2 >= 2

                f(x) >= 2

HENCE this means that range of  function f(x) = |x-3| + 2  is all real numbers which are >= 2

Jul 24th, 2014

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