Domain & Range and Functions

Find the DOMAIN of the relation: {(1, 2), (3, 4), (5, 6)}

• {1, 2, 3}

• {1, 3, 5}

• {2, 4, 6}

• {3, 5, 7}

What is a function?

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

• A function is a set of ordered pairs with no restrictions.

• A function is a mathematical operation that combines two numbers.

• A function is a graph that represents a linear equation.

What is the significance of the domain and range in real-world applications?

• They determine the maximum and minimum values of a function.

• They help to define the limits of a function, which is crucial in modeling real-world situations.

• They are used to calculate the average of a set of data points.

• They indicate the type of function being used.

What does it mean for a set of ordered pairs to represent a function?

• Each first element (x-value) in the pairs corresponds to exactly one second element (y-value).

• Each second element (y-value) can correspond to multiple first elements (x-values).

• The ordered pairs can be arranged in any order without affecting the function.

• There are no restrictions on the values of x and y in the pairs.

What is an example of a relation that is not a function?

• {(1, 2), (1, 3)}

• {(2, 3), (3, 4)}

• {(1, 2), (2, 3)}

• {(3, 4), (4, 5)}

If a function has a range of {0, 1, 2, 3}, what are the possible y-values?

• 0, 1, 2, and 3

• -1, 0, 1, and 2

• 1, 2, 3, and 4

• 0, 1, 2, 3, and 4

Find the RANGE of the relation: {(1, 2), (3, 4), (5, 6)}

• {2, 4, 6}

• {1, 3, 5}

• {2, 3, 4}

• {1, 2, 4, 6}

How can you determine if a relation is a function?

• A relation is a function if no x-value is repeated with different y-values.

• A relation is a function if all y-values are unique.

• A relation is a function if it has at least one x-value for every y-value.

• A relation is a function if it is represented by a straight line.

What does it mean if a graph is not a function?

• It means that all x-values have unique y-values.

• It means that at least one x-value has multiple y-values.

• It means that the graph is a straight line.

• It means that the graph is a circle.

If a function has a domain of {-5, -2, 1, 4}, what are the possible x-values?

• -5, -2, 1, and 4

• -5, -1, 0, and 4

• -2, 0, 1, and 3

• -5, -2, 1, and 5