Linear Functions Review

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 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, then the graph does not represent a function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine if a relation is a function?

Back

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

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/run).

Front

What is the y-intercept of a linear function?

Back

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

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, which can be represented by the equation y = mx + b.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the direction and steepness of the line. A positive slope means the line rises, while a negative slope means it falls.