Functions(Domain and Range)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

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

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

What is the vertical line test?

Back

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

Front

If f(x) = 3x + 2, what is f(1)?

Back

f(1) = 3(1) + 2 = 5.

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can vary, but it must have an output for each input in the domain.

Front

What does it mean if a table does not represent a function?

Back

It means that at least one input value is associated with more than one output value.

Front

If the function is defined as y = x^2, what is the range?

Back

The range is all non-negative real numbers (y ≥ 0).

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each input x has a unique output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs.