Equations as Functions

Front

What is a function?

Back

A function is a relation where every input has exactly one output.

Front

What is the vertical line test?

Back

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

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you determine if a table represents a function?

Back

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

Front

What is the output of the function y=4x+5 when x=4?

Back

The output is 21.

Front

What is a mapping in the context of functions?

Back

A mapping is a representation of how each element in one set (domain) is paired with an element in another set (range).

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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x value has a unique y value.