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

Given f(x) = 2x² + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

For the function f(x) = -3(x-1), find f(0).

Back

f(0) = 3.

Front

What does f(2) = 4 mean in function notation?

Back

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

Front

How can you represent the output of a function as an ordered pair?

Back

The output can be represented as an ordered pair (input, output), for example, (2, 4) for f(2) = 4.

Front

Given h(x) = 5 - 9x, find h(8).

Back

h(8) = -67.

Front

What is the significance of the variable 'x' in function notation?

Back

The variable 'x' represents the input value for which the function is evaluated.

Front

If g(x) = 3x - 6, what is g(2)?

Back

g(2) = 0.

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.