Review Over Topics 11-12

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run (change in y over change in x).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

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

Back

A graph represents a function if every x-value has exactly one corresponding y-value. This can be tested using the vertical line test.

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 a vertical line?

Back

A vertical line is a line that goes straight up and down and has an undefined slope.

Front

What is a horizontal line?

Back

A horizontal line is a line that goes straight across and has a slope of 0.

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 is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How can you determine if a graph is not a function?

Back

A graph is not a function if a vertical line intersects it at more than one point.