Functions- Review for Test #1

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

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

Back

A relation is not a function if at least one input (x-value) corresponds to more than one output (y-value).

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line. Its graph can be a curve or any shape that is not straight.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

What does it mean for a set of ordered pairs to represent a functional relationship?

Back

A set of ordered pairs represents a functional relationship if each x-value is paired with exactly one y-value.

Front

How can you identify a linear graph from a set of points?

Back

If the points form a straight line when plotted on a graph, then the relationship is linear.