L15 Flashcard Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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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 function to be linear?

Back

Front

What does it mean for a function to be nonlinear?

Back

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

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if every x-value corresponds to exactly one y-value.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is the standard form of a linear equation?

Back

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 of a linear function?

Back

Front

What is an example of a nonlinear function?

Back