How to determine the end behavior from the product of factors

The video tutorial explains the significance of leading terms in polynomial functions and how to determine the largest power when expanding polynomials. It introduces the concept of limits, discussing how the end behavior of functions is analyzed as x approaches positive or negative infinity. The tutorial emphasizes understanding the degree of polynomials and the use of limit notation to describe function behavior.

What is the leading term of the polynomial when expanding (x + 3)?

• x^3

• x^2

• x^4

• x^5

When multiplying (x^2) and (x^3), what is the largest power of x in the product?

• x^6

• x^5

• x^4

• x^7

What is the largest power of x when multiplying the leading terms of two polynomials, x^2 and x^3?

• x^5

• x^4

• x^7

• x^6

As x approaches negative infinity, what happens to the function if it is even?

• It goes to positive infinity

• It goes to zero

• It remains constant

• It goes to negative infinity

In limit notation, what does it mean when x approaches positive infinity?

• x is going to the left

• x is constant

• x is decreasing

• x is going to the right