# Question #99878

##### 1 Answer

The domain of

The domain of

#### Explanation:

**First part**

This is a polynomial function and it is defined over

Therefore,

The domain of

Let

Rewriting the equation

For this quadratic equation to have solutions, the discriminant

The range is

graph{12-2x-2x^2 [-26.34, 31.37, -7.27, 21.6]}

**Second part** ** ****

The domain of

The range changes as all the negative values become positive

So,

the range is

graph{|12-2x-2x^2| [-29.1, 28.6, -1.96, 26.9]}