Understanding functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the variable 'Y' represent in an ordered pair (X, Y)?

Back

'Y' represents the second number in an ordered pair.

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

What is the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the X-axis and Y-axis intersect.

Front

How do you find the output of a function given an input?

Back

To find the output, substitute the input value into the function's equation or table.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (X, Y).

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line.

Front

What is a function table?

Back

A function table is a table that displays the input values and their corresponding output values for a function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (X), while the dependent variable is the output (Y) that depends on the input.