Functions and Linear Functions Review

Front

What is the definition of a function?

Back

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

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input corresponds to one and only one output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, and can include curves or other shapes.

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

What does it mean if a set of ordered pairs is not a function?

Back

If a set of ordered pairs is not a function, it means at least one input is associated with more than one output.

Front

What are x-values in a function?

Back

X-values are the inputs of a function, representing the independent variable.

Front

What are y-values in a function?

Back

Y-values are the outputs of a function, representing the dependent variable.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3.