Rational Functions How to Find Equation From Graph with Asymptote Holes and Intercepts MHF4U IM Math

Rational equations have polynomials in numerator and denominator
Graph of Reciprocal Functions
Explore Rational Functions
All About Asymptotes
Find m, n for for given Rational Function
Graph Rational function
Solve Rational Equation
Solve Inequality
Find Equation for given graph with domain of all real numbers
Absolute Maximum and Absolute minimum value for any function continuous in closed interval [a, b] will always exist at the critical numbers or at the end points.
Check the value of the function at the critical numbers and at the end-points to find the result.
Steps to find increasing and decreasing interval of any function, f(x), are:
find the first derivative, f'(x)
find critical numbers, f'(x) = 0 or does not exist (DNE)
INTERVAL TABLE TEST:
These critical numbers divide the domain in intervals. Test each interval with a test point.
RESULT:
If f'(x) is greater than 0 then f(x) is increasing.
If f'(x) is less than 0 then f(x) is decreasing.
#calculus #derivativeapplication #increasinginterval #decreasinginterval #mcv4u #anilkumar #globalmathinstitute #absolutemaximum #absoluteminimum

[akshithkandivanam]

Great video sir! It outlines how to analyze a rational function perfectly, thanks.