Finals Practice Unit 2 and 3 - Foundations

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or fraction.

Front

What is a reasonable range for a situation?

Back

A reasonable range is the set of values that make sense in a given context, often defined by minimum and maximum limits.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, typically expressed as y = kx, where k is a non-zero constant.

Front

How can you determine if a relationship is a direct variation?

Back

A relationship is a direct variation if the ratio of the two variables remains constant.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input, meaning no two ordered pairs can have the same first element.

Front

What is the difference between a function and a non-function?

Back

A function has unique outputs for each input, while a non-function may have multiple outputs for the same input.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).