How To find the zeros of a rational function

The video tutorial explains how to find the zeros of a function by setting the function equal to zero and solving for the X values. It covers solving a rational expression by multiplying to eliminate the fraction, factoring the resulting polynomial, and solving for X. The tutorial also highlights the importance of avoiding division by zero, which would make the function undefined.

What is the primary goal when finding the zeros of a function?

• To make the function undefined

• To make both input and output values zero

• To make the output value zero

• To make the input value zero

What is the first step in eliminating a rational expression?

• Multiply both sides by the denominator

• Add the numerator and denominator

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

How is the quadratic expression X^2 - 9X + 14 factored?

• (X + 7)(X + 2)

• (X - 7)(X - 2)

• (X + 7)(X - 2)

• (X - 7)(X + 2)

What are the values of X that make the function zero after factoring?

• X = 7 and X = 2

• X = -7 and X = 2

• X = -7 and X = -2

• X = 7 and X = -2

Why can't X be zero in the given rational expression?

• Because it would make the numerator zero

• Because it would make the expression undefined

• Because it would make the denominator zero

• Because it would make the function zero