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

If g(x) = 3x + 1, what is g(2)?

Back

g(2) = 3(2) + 1 = 7.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

Given f(x) = x² + 7, what is f(2)?

Back

f(2) = 2² + 7 = 4 + 7 = 11.

Front

If f(x) = 2x + 1, find f(4).

Back

f(4) = 2(4) + 1 = 8 + 1 = 9.

Front

What is the output of f(x) = -3x - 8 when x = -1?

Back

f(-1) = -3(-1) - 8 = 3 - 8 = -5.

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 (f(x) or y-values) that the function can produce.

Front

How do you evaluate a function at a specific value?

Back

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

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) are different functions; they can have different rules or equations that define their outputs.