buatlah gambar, domain, kodomain dan range dari fungsi Y : 2x^2 + x -6, -4< x < 2

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 \(a < 0\)).

buatlah gambar, domain, kodomain dan range dari fungsi Y : 2x^2 + x -6, -4 < x < 2

Explore the graph of the quadratic function y = 2x^2 + x - 6 with the domain -4 < x < 2. Learn about its domain, codomain, and range, and understand how to calculate key properties like the vertex and range of the function. Suitable for students in Grades 9-11.

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