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 independent variable in a function?

Back

The independent variable is the input of the function, which can be changed freely. It is often represented by x in function notation.

Front

What is the dependent variable in a function?

Back

The dependent variable is the output of the function, which depends on the value of the independent variable. It is often represented by f(x) in function notation.

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 in place of the variable.

Front

What does f(0) represent in function notation?

Back

f(0) represents the output of the function when the input x is equal to 0.

Front

How do you read f(x)?

Back

f(x) is read as 'f of x'.

Front

What is the purpose of function notation?

Back

Function notation provides a clear and concise way to express mathematical relationships and to evaluate functions for specific inputs.

Front

If f(x) = 2x + 5, what is f(3)?

Back

f(3) = 2(3) + 5 = 6 + 5 = 11.

Front

What does it mean to find f(2) in a function?

Back

Finding f(2) means to substitute 2 for x in the function's equation and calculate the output.

Front

What is the relationship between independent and dependent variables?

Back

The independent variable is manipulated to observe how it affects the dependent variable, which is measured as the outcome.