Question

find the domain of the function (f(x) = -2x^2 - 1x + 4)
use interval notation to express your answer.

domain:

Explanation:

⚡ Using what you learned: domain and range

Step 1: Identify the function type

The given function is:

$$ f(x) = -2x^2 - 1x + 4 $$

This is a polynomial function (specifically, a quadratic function).

Step 2: Determine the domain restrictions

Polynomial functions do not contain any division by zero, square roots of negative numbers, or other operations that restrict the input value \( x \). Therefore, the function is defined for all real numbers.

$$ x \in \mathbb{R} $$

Step 3: Write in interval notation

All real numbers from negative infinity to positive infinity:

$$ (-\infty, \infty) $$

Answer:

$$ (-\infty, \infty) $$