Identifying Linear Functions

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is a linear function?

Back

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

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line, such as quadratic or exponential functions.

Front

How can you identify a function from a set of points?

Back

If no x-value is repeated, it is a function.

Front

What is the slope in a linear function?

Back

The rate of change of the function, represented by 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in a linear function?

Back

The point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output.

Front

Can a vertical line represent a function?

Back

No, a vertical line fails the vertical line test and does not represent a function.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

What is a domain in a function?

Back

The set of all possible input values (x-values) for the function.