Week 7 - Multiple Representations

Front

What is a function in mathematics?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the term 'independent variable' mean?

Back

The independent variable is the variable that is changed or controlled in a mathematical equation or experiment to test its effects on the dependent variable.

Front

What is a 'dependent variable'?

Back

The dependent variable is the variable that is tested and measured in an experiment, and it is affected by the independent variable.

Front

What is the slope in a linear equation?

Back

The slope is a number that describes the steepness and direction of a line on a graph, often represented as 'm' 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

How do you find the unit rate from a graph?

Back

The unit rate is found by determining how much of the dependent variable corresponds to one unit of the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

What does the term 'linear relationship' mean?

Back

A linear relationship is a relationship that can be graphically represented as a straight line, indicating a constant rate of change.

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases. A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is an example of a real-world function?

Back

An example of a real-world function is calculating total earnings based on hours worked, represented by the equation y = 18x, where y is total earnings and x is hours worked.