How to evaluate a rational function given three different input values

The video tutorial explains how to evaluate a function F(x) = 5 / (1 - x) for different values of x. It provides examples for x = -2, x = 0, and x = 1, demonstrating the calculation process and highlighting the concept of undefined results when dividing by zero. The tutorial emphasizes the importance of understanding these concepts in function evaluation.

What is the first step in evaluating the function F(x) = 5 / (1 - x) for a given value of x?

• Replace x with the given value

• Multiply x by 5

• Add 1 to x

• Divide 5 by x

What is the result of evaluating F(x) = 5 / (1 - x) when x = -2?

• 0

• Undefined

• 3/5

• 5/3

How do you evaluate F(x) = 5 / (1 - x) when x = 0?

• 1

• Undefined

• 0

• 5

Why is the function F(x) = 5 / (1 - x) undefined for x = 1?

• Because the function only accepts negative values

• Because the function is not defined for positive numbers

• Because 1 is not a valid input

• Because 1 - 1 equals 0, leading to division by zero

What is an important concept to understand when dealing with functions like F(x) = 5 / (1 - x)?

• The function is always positive

• The function is always negative

• The function can be undefined for certain values

• The function is always zero