Introduction to Function Notation

This video tutorial explains how to denote a function using function notation. It begins by identifying a relation as a function and then demonstrates how to use function notation by replacing 'y' with 'f(x)'. The tutorial clarifies that 'f(x)' is the output when 'x' is the input and addresses common misconceptions, such as confusing 'f(x)' with multiplication. It also highlights that function notation can use various letters, not just 'f(x)'.

What does 'f(x)' represent in function notation?

• The output value when 'x' is the input

• A constant value

• The input value of the function

• The multiplication of 'f' and 'x'

How do you convert the equation y = 2x - 1 into function notation?

• Add 'f' to 'y'

• Multiply 'y' by 'x'

• Replace 'y' with 'f(x)'

• Subtract 'x' from 'y'

When substituting a domain value into a function, what do you replace?

• Replace 'y' with the domain value

• Replace 'x' with the domain value

• Replace 'f' with the domain value

• Replace the entire function with the domain value

Which of the following is NOT a correct interpretation of 'f(x)'?

• It indicates a function's output for a given input

• It shows the relationship is a function

• It means 'f' multiplied by 'x'

• It can be replaced with 'g(x)' or 'h(x)'

What is a common misconception about function notation?

• That 'f(x)' means 'f' times 'x'

• That 'f(x)' is the only form of function notation

• That 'f(x)' is always positive

• That 'f(x)' can only be used with numbers