Operations on Functions

Front

What is 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

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Front

What is the notation for a function?

Back

The notation for a function is typically f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What does f(10) = 15 mean?

Back

It means that when the input value is 10, the output value of the function f is 15.

Front

How do you find f(-8) if f(x) = x^2?

Back

Substitute -8 into the function: f(-8) = (-8)^2 = 64.

Front

What is the value of r(-2) if r(x) = 2x?

Back

Substitute -2 into the function: r(-2) = 2(-2) = -4.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is a composite function?

Back

A composite function is formed when one function is applied to the results of another function, denoted as (f ∘ g)(x) = f(g(x)).