Question

What is the range of the function h(x)=√1-x+1?

Answer 1

The given function is expressed as

`h(x)\text{ = }\sqrt[]{1\text{ - x}}\text{ + 1}`

For clarity, let us plot the graph of the function. It is shown below

Recall, the range of a function is the set of all values of y that would satisfy the function. On the graph, it is between the lowest value of y at the bottom and the greatest value of y at the top. Looking at the graph, the lowest value of y is 1 at the bottom. At the top, the graph extends to infinity. Thus, the range is between 1 and infinity. In interval notation,

Range = [1, infinity)