# How do you find the domain and range of f(x)=x^2-12x+36?

Aug 19, 2015

Find domain and range of $f \left(x\right) = {x}^{2} - 12 x + 36$

#### Explanation:

$f \left(x\right) = {\left(x - 6\right)}^{2}$

The parabola opens upward. There is a Min at vertex $\left(6 , 0\right)$.

There is also double root at $x = 6$

Domain of $x$: $\left(- \infty , + \infty\right)$

Range of $y$: $\left(- \infty , + \infty\right)$

graph{(x - 6)^2 [-10, 10, -5, 5]}