Functions EL review

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input is associated with more than one output.

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

What is the slope of a line?

Back

The slope of a line is the ratio of the rise (change in y) to the run (change in x).

Front

What does a horizontal line on a graph represent?

Back

A horizontal line represents a constant output, meaning the function does not change as the input changes.

Front

What does a vertical line on a graph represent?

Back

A vertical line indicates that for a given input, there are multiple outputs, which means it is not a function.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.