Answer:
[-4, 3]
Explanation:
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
The domain of the function f(x) = 2x² over the interval -4 ≤ x ≤ 3 is the set of all real numbers that fall within or on the closed interval from -4 to 3.
Therefore, the domain is:
- Interval notation: [-4, 3]
- Inequality notation: -4 ≤ x ≤ 3
This means that x can take any real value between -4 and 3, including -4 and 3 themselves.
Note: ≤ means "less than or equal to" and ≥ means "more than or equal to", which is why x = -4 and x = 3 are included in the given interval.