Domain and Range given a sets of ordered pairs

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Given the function y = 4x - 12, how do you find the range for a specific domain?

Back

Substitute each x-value from the domain into the function to find the corresponding y-values.

Front

What is the domain of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The domain is the set of x-values: {-4, 0, 1, 2}.

Front

What is the range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The range is the set of y-values: {-4, -3, 1}.

Front

What does the term 'ordered pair' mean?

Back

An ordered pair is a pair of numbers (x, y) where the first number represents the x-coordinate and the second number represents the y-coordinate.

Front

How do you identify the range from a set of ordered pairs?

Back

Extract the second elements (y-values) from each ordered pair to form the range.

Front

What is the significance of the range in a function?

Back

The range indicates all possible outputs of the function, which helps in understanding the behavior of the function.