Help Videos for MATH 1325 – Calculus for Business & Social Sciences

Lesson 12 Videos: Analyzing Polynomial Functions

MATH 1325 was formerly named MATH 1314.

Overview: Finding increasing and decreasing intervals using graphical analysis

Example 1: Stating intervals on which a function is increasing and decreasing, based on graphical analysis

Overview: Critical numbers of a polynomial function

Example 2: Finding the critical numbers of a polynomial function

Example 3: Finding the critical numbers of a polynomial function

Overview: Finding increasing and decreasing intervals using the first derivative

Example 4: Finding increasing and decreasing intervals using the first derivative (done by hand)

Example 5: Finding increasing and decreasing intervals using the first derivative (using Geogebra)

Overview: Relative extrema

Example 6: Finding relative extrema of a function

Overview: Concavity

Example 7

Overview: Concavity intervals

Example 8: Visual identification of concave up and concave down intervals

Overview: Inflection points

Example 9: Using the second derivative to find inflection points

Example 10: Finding a regression equation for a table of data, and analyzing the function (increase/decrease, relative max/min, concave up/down, inflection points, etc.)

Overview: Analysis of a polynomial function

Example 11: Analyzing a polynomial function