Domain, Range, Slope from Graph

Front

What is a function?

Back

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

Front

How can you tell if a relation is a function?

Back

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

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

What does slope represent in a graph?

Back

Slope represents the steepness of a line, calculated as the change in y over the change in x (rise/run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

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 does it mean if a function has a repeated x-value?

Back

If a function has a repeated x-value with different y-values, it is not a function.

Front

What is the slope of the line that goes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.