Understanding Domains of Functions

What is the domain of a polynomial function?

• All negative numbers

• All positive numbers

• All integers

• All real numbers

What must be excluded from the domain of a rational function?

• Negative values

• Positive values

• Values that make the numerator zero

• Values that make the denominator zero

How do you find the values to exclude from the domain of a rational function?

• By setting the numerator equal to zero

• By setting the entire function equal to zero

• By setting the function greater than zero

• By setting the denominator equal to zero

What is the domain of the rational function f(x) = (x^2 + 5) / (x^2 + 5x + 6)?

• All real numbers except -2 and -3

• All real numbers except 2 and 3

• All real numbers

• All positive numbers

What is a key restriction for the domain of a radical function?

• The expression under the square root must be a fraction

• The expression under the square root must be an integer

• The expression under the square root must be negative

• The expression under the square root must be positive or zero

What happens to the inequality symbol when dividing by a negative number?

• It stays the same

• It flips direction

• It becomes an equality

• It disappears

What is the domain of the radical function f(x) = √(6 - 3x)?

• All real numbers

• x ≥ 2

• x = 2

• x ≤ 2

In interval notation, how is a number included in the domain?

• Using a parenthesis

• Using a bracket

• Using a comma

• Using a semicolon

What is the result of √(-16)?

• 0

• Not a real number

• 4

• -4

What is the domain of a function?

• The set of all negative values

• The set of all positive values

• The set of all possible input values

• The set of all possible output values