Cubic Functions and Polynomials

The video tutorial introduces Unit 5, focusing on cubic functions and polynomials. It covers the characteristics of polynomials, including terms, degrees, and graphing properties. The tutorial explains how to identify polynomials and introduces cubic functions and their transformations. It provides a detailed guide on graphing cubic functions, both in their parent form and with transformations. The video concludes with an analysis of graphs to identify transformations applied to cubic functions.

What is the main focus of Unit 5 in the second semester?

• Linear functions

• Cubic functions and polynomials

• Trigonometric functions

• Quadratic functions

What is a polynomial with two terms called?

• Binomial

• Monomial

• Quadrinomial

• Trinomial

How is the degree of a polynomial determined?

• By the coefficient of the first term

• By the number of variables

• By the highest exponent

• By the number of terms

What is the parent function of a cubic function?

• x^3

• x^4

• x

• x^2

What does a negative sign in front of a cubic function indicate?

• Reflection over the x-axis

• Vertical stretch

• Reflection over the y-axis

• Horizontal shift

If a cubic function is shifted right by 3 units and down by 4 units, what is the new point of inflection?

• (-3, 4)

• (-4, 3)

• (3, -4)

• (4, -3)