Domains of Functions Quiz

Domains of Functions

• The domain defined as (-4, -2)∪(-2, 2)∪(2, ∞) indicates that the function is valid for all real numbers except for -2, where it is not defined.

• A function with a domain of all real numbers is valid for every possible input without restriction.

• The domain (-∞, -2)∪(-2, ∞) allows for all real numbers except -2, showing no restrictions on both sides of -2.

• If the domain is stated as x ≠ 4, that means the function is defined for all real numbers except for the specific value of 4.

• A domain defined as (-∞, -4)∪(-4, 4)∪(4, ∞) reflects that all values are allowed except for -4 and 4.

• The domain x ≠ 4, x ≠ 0 specifies that the function is defined for all real numbers except for the values 4 and 0.

• When the domain is given as x ≠ 0, x ≠ 2, the function is valid for all real numbers except for 0 and 2.

• A domain of x ≥ 4 means the function accepts inputs starting from 4 and extending to positive infinity.

• The domain (4, ∞) indicates that the function is valid for all values greater than 4, not inclusive of 4 itself.

• A domain of [2, ∞) includes 2 and all real numbers greater than 2, indicating that 2 is a valid input.

• The domain (2, ∞) specifies that the function is valid for all values strictly greater than 2, excluding 2.

• If the domain is defined as x ≠ √2, x ≠ -√2, the function is valid for all real numbers except for the square root of 2 and its negative.

• The domain [-3, 2)∪(2, ∞) allows numbers between -3 and 2, including -3 but excluding 2, and includes all numbers greater than 2.

• A domain of (-∞, -2] indicates that all values up to and including -2 are valid, while values greater than -2 are not included.

• The domain (-∞, ∞) is the broadest, indicating the function is defined for all real numbers without any restrictions.

• The domain [4, ∞) allows for 4 and any higher values, including all positives beyond 4.