Functions, Tables, and Graphs

Front

What is a function?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What does the graph of a function represent?

Back

The graph of a function represents all the ordered pairs (x, y) that satisfy the function's equation.

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 the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you determine if a set of values is a function?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if, as the x-values increase, the y-values decrease.

Front

What is a table of values?

Back

A table of values is a set of ordered pairs that shows the relationship between x and y values for a function.