Linear, Nonlinear, and Functions Test

Front

What is a function?

Back

A function is a relation where each 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 a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a relation to be linear?

Back

A linear relation is one where the graph forms a straight line, indicating a constant rate of change.

Front

What does it mean for a relation to be nonlinear?

Back

A nonlinear relation is one where the graph does not form a straight line, indicating a variable rate of change.

Front

Give an example of a function.

Back

An example of a function is the relation {(1, 2), (2, 3), (3, 4)}.

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is 11.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What is the y-intercept of the function represented by the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How can you tell if a table of values represents a linear function?

Back

If the differences between consecutive outputs (y-values) are constant, it represents a linear function.