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

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Question 703697: what is the range of f(x)=|x-3|+2
Answer by Nfrey78(18) About Me  (Show Source):
You can put this solution on YOUR website!
what is the range of f%28x%29=+abs%28x-3%29%2B2
Let's sketch the graph
+graph%28+300%2C+200%2C+-4%2C+8%2C+-10%2C+10%2C+abs%28x-3%29%2B2+%29+
The range is determined by the output or y values.
For absolute value we need to look at the vertex.
The vertex is at (3, 2) and here it is a minimum, the lowest point on the graph.
That means that the lowest the y values can be is 2.
When we scan the graph up and down, it starts at y = 2 and goes up, up, up from there!
So the range is +y%3E=2