Functions, Functions, Functions

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

What is the definition of a function?

Back

A function is a relation where every input has exactly one output.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, characterized by a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed, indicating a variable rate of change.

Front

How can you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values are constant for equal intervals of x-values, the function is linear.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.