To find the domain of a quadratic function, we need to look at its standard form, which is:

f(x) = ax² + bx + c

The domain is simply all real numbers.

You can write it like this:

(-∞, ∞)

Now, let's talk about the range. To find the range, we need to look at the vertex of the parabola.

• If a > 0, the range goes up from the vertex's y-value.
• If a < 0, the range goes down from the vertex's y-value.

Here’s an example to help you understand better:

For the function f(x) = 2x² - 4, the vertex is at the point (0, -4).

Since a (which is 2 here) is greater than 0, the range starts from -4 and goes up.

So, the range for this function is:

[-4, ∞)