Function Notation

Front

What is function notation?

Back

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

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) but different second elements (outputs).

Front

Identify the ordered pair that prevents a relation from being a function: (10, 10), (2, 4), (6, 1), (-2, 0)

Back

(-2, 0) is the ordered pair that prevents the relation from being a function.

Front

Evaluate f(-2) if f(x) = x² + 3.

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7.

Front

If f(x) = 3x - 2, find f(4).

Back

f(4) = 3(4) - 2 = 12 - 2 = 10.

Front

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

Back

If f(x) = -2, then x = 8.

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 find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.