Operations of Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does it mean to perform operations on functions?

Back

Performing operations on functions involves combining two or more functions using addition, subtraction, multiplication, or division.

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 standard form in mathematics?

Back

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values that make the denominator zero and exclude them from the domain.

Front

What is the result of adding two functions f(x) and g(x)?

Back

The result is a new function h(x) = f(x) + g(x).

Front

What is the result of multiplying two functions f(x) and g(x)?

Back

The result is a new function h(x) = f(x) * g(x).

Front

What is the result of subtracting two functions f(x) and g(x)?

Back

The result is a new function h(x) = f(x) - g(x).

Front

What is the result of dividing two functions f(x) and g(x)?

Back

The result is a new function h(x) = f(x) / g(x), with restrictions where g(x) ≠ 0.

Front

What is a polynomial function?

Back