Functions, Tables, and Graphs

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of a mapping?

Back

A mapping is a way to pair each element of one set with an element of another set.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no x-value is repeated with different y-values.

Front

What does the graph of a function look like?

Back

The graph of a function passes the vertical line test; no vertical line intersects the graph more than once.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if a vertical line intersects the graph at more than one point.

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 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 the y-intercept represent?

Back

The y-intercept is the point where the graph of a function crosses the y-axis (x=0).

Front

What is a table of values?

Back

A table of values lists pairs of x and y values that satisfy a function or equation.