2.11117 What is a rational function Functions

The video tutorial introduces rational functions, explaining them as functions divided by other functions, similar to rational numbers. It covers the polynomial representation of these functions and emphasizes the importance of avoiding zero denominators, which lead to undefined functions and asymptotes. The tutorial concludes with a summary of key points.

What is a rational function similar to in terms of numbers?

• Whole numbers

• Irrational numbers

• Rational numbers

• Complex numbers

In a rational function, what form do the numerator and denominator typically take?

• Logarithmic

• Polynomial

• Exponential

• Trigonometric

What happens if the denominator of a rational function equals zero?

• The function is continuous

• The function becomes a constant

• The function is undefined

• The function becomes linear

What mathematical concept is created when the denominator of a rational function is zero?

• Tangents

• Intercepts

• Asymptotes

• Vertices

Why is it important for the denominator of a rational function not to be zero?

• To ensure the function is continuous

• To avoid undefined values

• To make the function linear

• To simplify the function