The given function is:

$f(x) = 2x^2 - 3x - 2$

This is a quadratic function, which has the general form:

$f(x) = ax^2 + bx + c$

Where:

• $a = 2$
• $b = -3$
• $c = -2$

Common tasks for quadratic functions include:

1. Finding the vertex (the highest or lowest point depending on the parabola's direction).
2. Determining the roots or solving for x (the values of $x$ where $f(x) = 0$).
3. Finding the axis of symmetry.

Would you like to explore any of these or something else related to this function?

Some related questions:

1. What is the vertex of this quadratic function?
2. How do you find the roots of the quadratic equation $2x^2 - 3x - 2 = 0$?
3. What is the axis of symmetry for the quadratic function $f(x) = 2x^2 - 3x - 2$?
4. How do you graph the quadratic function $f(x) = 2x^2 - 3x - 2$?
5. What does the discriminant of the quadratic equation tell you about the roots?

Tip: The axis of symmetry of a quadratic function can be found using the formula $x = \frac{-b}{2a}$.