8.5G functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you determine if a set of ordered pairs represents y as a function of x?

Back

A set of ordered pairs represents y as a function of x if no two pairs have the same x-value with different y-values.

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

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

Which of the following is a function: {(1,2), (2,3), (1,4)}?

Back

No, because the x-value 1 corresponds to two different y-values (2 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is a non-function?

Back

A non-function is a relation where at least one x-value is associated with multiple y-values.

Front

How can you represent a function graphically?

Back

A function can be represented graphically by plotting points on a coordinate plane and ensuring that it passes the vertical line test.

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.