SOLUTION: Find the range of h(x)=2-sqrt(x-1)

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Question 148198: Find the range of h(x)=2-sqrt(x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
When you graph h%28x%29=2-sqrt%28x-1%29, you get




From the graph, we can see that the highest point is at (1,2). So this means that the highest y value is y=2. So this means that y can be any number less than or equal to 2. So this tells us that the range is y%3C=2


So the range in set-builder notation is


Also the range in interval notation is (]