Operations with Functions

Front

Define a function.

Back

A function is a relation that assigns exactly one output for each input from a set of inputs, known as the domain.

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

What does it mean to find the quotient of two functions?

Back

Front

How do you find the sum of two functions?

Back

The sum of two functions f and g is defined as (f + g)(x) = f(x) + g(x).

Front

How do you find the difference of two functions?

Back

The difference of two functions f and g is defined as (f - g)(x) = f(x) - g(x).

Front

How do you find the product of two functions?

Back

The product of two functions f and g is defined as (f * g)(x) = f(x) * g(x).

Front

What is a domain restriction in the context of function quotients?

Back

A domain restriction occurs when the denominator of a function quotient is equal to zero, making the function undefined for those input values.

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