Identify 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 the definition of a non-function?

Back

A non-function is a relation where at least one input is related to more than one output.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does the term 'rate of change' refer to in functions?

Back

The rate of change refers to how much the output value of a function changes for a given change in the input value.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and has a constant rate of change.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line and has a variable rate of change.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input and output values, which can help determine if a relation is a function.

Front

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

Back

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

Front

What is the significance of the x-axis and y-axis in a graph?

Back

The x-axis represents the input values, while the y-axis represents the output values in a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.