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 is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input; each input must correspond to exactly one output.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value (x) corresponds to exactly one output value (y).

Front

Is the following mapping a function? (1, 2), (1, 3)

Back

No, this mapping is not a function because the input '1' is associated with two different outputs (2 and 3).

Front

Is the following table a function? x: 1, 2, 3; y: 4, 5, 6

Back

Yes, this table is a function because each input (1, 2, 3) has a unique output (4, 5, 6).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Can a function be represented by an equation?

Back

Yes, a function can be represented by an equation, such as y = 2x + 3, where each x value has a corresponding y value.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) 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) that the function can produce.