Functions, Functions, Functions

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set.

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 {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

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

Back

R: {1, -3, -4}.

Front

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

Back

A set of points represents a function if no two different ordered pairs have the same first element (input).

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) where x is the input and y is the output of the function.

Front

What is the significance of the input in a function?

Back

The input is the value that is fed into the function to produce an output.

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is an example of a pair that could be added to a function without violating the definition of a function?

Back

(1, 9) could be added to the points (3, 5), (4, 9), (2, 5) without violating the function rule.