Function/Not a Function & Linear/Nonlinear

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the definition of a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and absolute value functions.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) corresponds to exactly one output (y-value).

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 intersects the graph at more than one point, the graph does not represent a function.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is the y-intercept?

Back

Front

What is an example of a linear function?

Back

Front

What is an example of a nonlinear function?

Back

Front

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

Back

A relation is not a function if there are at least two ordered pairs with the same x-value but different y-values.