# How do you find the domain and range of #Y=-x^2+4x-1#?

##### 1 Answer

May 28, 2017

See explanation.

#### Explanation:

The function is a polynomial, so it is defined for all real values of

To calculate the range we have to find the vertex of the parabola:

graph{-x^2+4x-1 [-11.25, 11.25, -5.625, 5.625]}

From the graph we see that the range is