Learn how to evaluate a rational function for different values

The video tutorial explains how to evaluate functions by substituting different input values into a given rule to determine the output. It covers specific examples, such as evaluating F of -2, F of 0, and F of 1, highlighting the concept of undefined results when dividing by zero. The tutorial emphasizes the general process of function evaluation, noting that inputs can be numbers, letters, expressions, or even other functions. The instructor encourages understanding the process as it will become more complex in future lessons.

What is the result of evaluating the function at -2?

• Undefined

• -1/2

• 2

• 1/2

Why is the function evaluation at 0 considered undefined?

• Because 0 is not a valid input

• Because division by zero is not possible

• Because the function does not exist at 0

• Because 0 results in a negative output

What is the output when the function is evaluated at 1?

• Undefined

• 2

• -2

• 0

Which of the following can be used as an input for the function?

• Only numbers

• Only letters

• Numbers, letters, expressions, or other functions

• Only expressions

What should you remember about the process of evaluating functions?

• It is only applicable to numbers

• The process remains the same regardless of input type

• It is only applicable to simple functions

• It will always result in a positive output