Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What is the y-intercept of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

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

Front

What is the graphical representation of the function y = 2x?

Back

A straight line that passes through the origin with a slope of 2.

Front

How can you find the slope from two points on a line?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is an example of a non-function relation?

Back

The relation {(1,2), (1,3)} is not a function because the x-value 1 corresponds to two different y-values.

Front

What is the significance of the ordered pairs in a function?

Back

Ordered pairs (x, y) represent the input-output relationship in a function.

Front

How do you write a function rule from a table of values?

Back

Identify the pattern in the x and y values to create an equation that describes the relationship.