Here is the graph of the function $y = 2x^2 + x - 6$ with the domain $-4 < x < 2$.

• Domain: The interval for $x$, which is $-4 < x < 2$.
• Codomain: The set of all possible real numbers, unless specified otherwise.
• Range: The actual output values for $y$, which for this domain, spans from approximately $y = 22$ (at $x = -4$) to $y = 4$ (at $x = 2$).

Would you like more details or have any questions?

Here are some follow-up questions:

1. How do you calculate the vertex of a quadratic function?
2. What is the difference between codomain and range?
3. How does changing the domain affect the range of a function?
4. Can the range of this function ever be negative?
5. How do you find the maximum or minimum value of a quadratic function?

Tip: In a quadratic function $ax^2 + bx + c$, the graph is a parabola. Depending on the sign of $a$, the parabola either opens upwards (for $a > 0$) or downwards (for $a < 0$).