Chapter 4 Functions Flashcard Review

Front

What is the constant rate of change?

Back

The constant rate of change is the ratio of the change in the y-values to the change in the x-values, often represented as the slope of a line. For example, if the change in y is 3 and the change in x is 1, the constant rate of change is 3.

Front

Define what range is.

Back

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

Front

Is the relation {(1,3), (-1,4), (2,1), (1,-3)} a function?

Back

No, the relation is not a function because the x-value 1 is associated with two different y-values (3 and -3).

Front

What is a function table?

Back

A function table is a tool used to organize function values, showing pairs of input (x) and output (y) values.

Front

What is the constant rate of change when the change in y is 1 and the change in x is 1?

Back

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 does it mean for a relation to be a function?

Back

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

Front

What is the slope of a line?

Back

The slope of a line is the measure of its steepness, calculated as the ratio of the rise (change in y) over the run (change in x).

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values) of a function.

Front

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

Back