Leading Coefficient Test
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.
Overview leading coefficient test
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- In y= ax^n, when a>0 and n is even what happens to the function as (i)x -> - â (ii)x-> â
- In y= ax^n, when a<0 and n is odd what happens to the function as (i) x-> -â (ii) x-> â
