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

How do you evaluate a function at a specific point?

Back

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

Front

Evaluate f(0) for f(x) = -3(x-1).

Back

f(0) = -3(0-1) = -3(-1) = 3.

Front

Evaluate f(-2) for f(x) = x + 3.

Back

f(-2) = -2 + 3 = 1.

Front

What is f(8) for f(x) = -2?

Back

f(8) = -2.

Front

Evaluate f(1) for f(x) = 4x + 1.

Back

f(1) = 4(1) + 1 = 4 + 1 = 5.

Front

Given f(x) = -4x - 10, find x if f(x) = 10.

Back

Set -4x - 10 = 10. Solving gives x = -5.

Front

What does the 'x' represent in f(x)?

Back

The 'x' represents the input value or independent variable of the function.

Front

What is the output of a function?

Back

The output of a function is the value that results from substituting the input into the function's equation.

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.