Functions -Math 8

Front

What is a function in mathematics?

Back

A function is a relationship between two sets of values where each input (x) is related to exactly one output (y).

Front

What is the dependent variable?

Back

The dependent variable is the variable that depends on the value of another variable. In the context of a function, it is usually represented as 'y'.

Front

What is the independent variable?

Back

The independent variable is the variable that is changed or controlled in a function. It is usually represented as 'x'.

Front

How do you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value).

Front

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

Back

A graph shows a function if any vertical line drawn through the graph intersects it at most once.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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 a constant function?

Back

A constant function is a function that always returns the same value, regardless of the input. It can be expressed as y = c, where c is a constant.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have to follow the rule that each input has only one output.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the independent variable (x) and the dependent variable (y).