Describing the End Behavior of Polynomial and Exponential Functions

The video tutorial explains how to classify functions as polynomial or exponential, and further categorizes exponential functions into growth or decay. It details the end behavior of polynomial functions, determined by the leading term, and explores exponential functions through graphing examples. The tutorial concludes with practical applications of these concepts, helping viewers describe the end behavior of various functions.

What determines the end behavior of a polynomial function?

• The smallest term

• The constant term

• The leading term

• The middle term

In the function y = 2^x, what happens to y as x becomes very large?

• y remains constant

• y becomes very large

• y becomes negative

• y approaches zero

What is the end behavior of an exponential function with a base greater than 1?

• y approaches zero as x approaches positive infinity

• y approaches positive infinity as x approaches negative infinity

• y remains constant as x approaches infinity

• y approaches zero as x approaches negative infinity

How can you identify an exponential function?

• The function has a constant term

• x is in the base

• The function has a linear term

• x is in the exponent

For a polynomial function with an odd degree and a positive leading coefficient, what is the end behavior?

• y approaches positive infinity as x approaches negative infinity

• y approaches negative infinity as x approaches negative infinity

• y approaches positive infinity as x approaches positive infinity

• y approaches negative infinity as x approaches positive infinity