# What is the range of the function #f(x)=x^2+2x+2#?

##### 2 Answers

#### Explanation:

The function can be rewritten as

Thus, the range is

Range:

#### Explanation:

Since this is an upward facing parabola, we know that the upper bound of the range is

**Find the minimum.** We can do this by either using our knowledge of parabolas and quadratic form to complete the square to find the vertex, and the y value is the minimum; OR we could use calculus and find where

Vertex is at

The minimum is at