Represent Functions as a Graph

Front

What is an ordered pair?

Back

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

Front

How do you write ordered pairs from a table?

Back

To write ordered pairs from a table, take the first column as the x-coordinate and the second column as the y-coordinate, forming pairs like (x, y).

Front

What does the graph of a function represent?

Back

The graph of a function represents the relationship between the input (x-values) and the output (y-values) visually.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as 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 the y-intercept of a function?

Back

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

Front

How do you identify the slope from an equation?

Back

In the equation y = mx + b, the slope is the coefficient m of x.

Front

What does it mean for a function to be linear?

Back

A function is linear if its graph forms a straight line, which means it can be expressed in the form y = mx + b.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the difference between a function and a relation?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input has one unique output.