# What is the range of the function #F(X) = ( X - 1)^2 + 6#?

##### 2 Answers

All real numbers

#### Explanation:

The range of a function

Calculus gives you some better tools to answer this type of equation, but since it's algebra, we won't use them. In this case, the best tool is probably to graph the equation.

It is of quadratic form, so the graph is a parabola, opening up.

This means that it has a minimum point. This is at

There is NO value of

Therefore the range of the function is all real numbers

#### Explanation:

Observe that,

Adding

Hence,