Function Review

Front

What is the slope of a line?

Back

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

Front

How do you determine if a graph is a function?

Back

A graph is a function if every vertical line intersects the graph at most once (the vertical line test).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

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

Back

A mapping is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line has a slope of 4/5, what does this indicate?

Back

A slope of 4/5 indicates that for every 5 units moved horizontally to the right, the line rises 4 units vertically.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically represented in the form y = mx + b.

Front

What is the y-intercept of a line?

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 it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that it is not a function because at least one x-value corresponds to multiple y-values.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is paired with exactly one output, while a relation can have multiple outputs for a single input.