Function REVIEW

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed. It has the general form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear equation?

Back

A nonlinear equation is an equation that does not form a straight line when graphed. It can include curves, parabolas, and other shapes.

Front

What is a function?

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

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

Back

A relation is a function if each input value corresponds to exactly one output value, meaning there are no repeating input values.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

Front

What is a constant rate of change?

Back

A constant rate of change means that for every unit increase in the input, the output increases by a fixed amount. This is characteristic of linear relationships.

Front

What is a table of values?

Back

A table of values lists pairs of input and output values, showing the relationship between the two variables.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input value is unique and does not repeat.