Solution
The range of a function is the set of its possible output values.
The range of x^2 + 2x - 8 is
[tex]\begin{gathered} \lbrace y|y\ge-9\rbrace \\ \\ \end{gathered}[/tex]
In interval notation
[-9, ∞)
It's increasing on
(-1, ∞)
It is decreasing on
(-∞, -1)
