Flashcard - Function

Front

What is a function in mathematics?

Back

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

Front

What is function notation?

Back

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

Front

How do you evaluate a function?

Back

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

Front

What does f(4) mean in function notation?

Back

f(4) represents the output of the function f when the input is 4.

Front

If f(x) = x + 7, what is f(4)?

Back

f(4) = 4 + 7 = 11.

Front

What is the inverse of a function?

Back

The inverse of a function reverses the input-output pairs, such that if f(a) = b, then f^(-1)(b) = a.

Front

What is a domain in a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.

Front

What is a range in a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.

Front

How do you find the value of x when f(x) = c?

Back

Set the function equal to c and solve for x.

Front

What does it mean if f(2) = 4?

Back

It means that when the input is 2, the output of the function is 4.