Domain and Range

What is the definition of Domain in a function?

• The set of all possible output values (y-values) for a function.

• The set of all possible input values (x-values) for a function.

• The relationship between input and output values in a function.

• The maximum value that a function can output.

What is the definition of Range in a function?

• The set of all possible input values (x-values) for a function.

• The set of all possible output values (y-values) for a function.

• The difference between the highest and lowest values in a dataset.

• The average of all output values (y-values) for a function.

What is the domain of the function defined by the points {(1,2), (2,3), (3,4)}?

• {1, 2, 3}

• {2, 3, 4}

• {1, 3, 4}

• {1, 2, 4}

Given the function f(x) = 2x + 3, what is the domain?

• All real numbers.

• Only positive integers.

• Only negative integers.

• Only rational numbers.

What is the domain of the function f(x) = 1/x?

• All real numbers except x = 0.

• All real numbers including x = 0.

• Only positive real numbers.

• Only negative real numbers.

What is the range of the function f(x) = x^2?

• All real numbers y such that y ≥ 0.

• All real numbers y such that y < 0.

• All real numbers y such that y = 0.

• All real numbers y such that y > 0.

What is the range of the function f(x) = -x^2?

• All real numbers y such that y < 0.

• All real numbers y such that y ≤ 0.

• All real numbers y such that y > 0.

• All real numbers y such that y ≥ 0.

Given the function f(x) = √(x - 1), what is the domain?

• x > 1

• x ≥ 0

• x ≥ 1

• x < 1

What is a function?

• A relation where each input (x-value) has exactly one output (y-value).

• A mathematical operation that combines two or more numbers.

• A set of ordered pairs where no two pairs have the same first element.

• A graph that represents a linear relationship between two variables.

What is the range of the function defined by the points {(1,2), (2,3), (3,4)}?

• {1, 2, 3}

• {2, 3, 4}

• {3, 4, 5}

• {2, 3, 5}