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 does the vertical line test determine?

Back

The vertical line test determines 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

What is an example of a non-function?

Back

A relation where an input is associated with multiple outputs, such as the equation x^2 + y^2 = 1 (a circle).

Front

How can you identify the range from a graph?

Back

The range can be identified by looking at the y-values that the graph covers.

Front

What is the output of the function f(x) = 2x - 4 when x = 3?

Back

f(3) = 2(3) - 4 = 2.

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

What is the output of the function f(x) = x^2 when x = -2?

Back

f(-2) = (-2)^2 = 4.