Leading Coefficient Test

Sick of ads?​ Sign up for MathVids Premium
Taught by mrbrianmclogan
  • Currently 4.0/5 Stars.
6705 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson on the Leading Coefficient Test, viewers are taught about power functions like y=a(x^n), and how to determine what happens to the output value as x approaches infinity or negative infinity. Even power functions with a leading coefficient greater than 0 will always go to positive infinity or negative infinity, while odd power functions with a leading coefficient greater than 0 will go to opposite infinities. The key is to remember the shapes of x^2 and x^3 and what happens when a is positive or negative.

Lesson Description:

Overview leading coefficient test

I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.

Questions answered by this video:
  • In y= ax^n, when a>0 and n is even what happens to the function as (i)x -> - ∞ (ii)x-> ∞
  • In y= ax^n, when a<0 and n is odd what happens to the function as (i) x-> -∞ (ii) x-> ∞