Domain, Range and Function Notation Test Review

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set.

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

How do you determine the domain from a set of ordered pairs?

Back

The domain can be determined by listing all the first elements (x-values) from the ordered pairs.

Front

What is function notation?

Back

Function notation is a way to denote a function using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

Evaluate f(0) if f(x) = 2x + 5.

Back

f(0) = 2(0) + 5 = 5.

Front

If h(x) = 4x - 1, find h(3).

Back

h(3) = 4(3) - 1 = 11.

Front

What is the common variable used to represent the range of a function?

Back

The common variable used to represent the range is 'y'.

Front

What is the difference between the domain and range?

Back

The domain refers to the set of input values, while the range refers to the set of output values of a function.

Front

How can you find the range from a set of ordered pairs?

Back

The range can be found by listing all the second elements (y-values) from the ordered pairs.