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

Lesson 13 Videos: Analyzing General Functions

MATH 1325 was formerly named MATH 1314.

Overview: The domain of a function

Example 1: Finding the domain of a rational function

Example 2: Finding the domain of a square root function

Example 3: Finding the domain of a cube root function

Example 4: Finding the domain of a logarithmic function

Overview: Critical numbers of a function

Example 5: Finding the critical numbers of a function

Example 6: Finding the critical numbers of a function

Overview: Finding increasing and decreasing intervals — with important tips regarding critical numbers

Example 7: Finding the critical numbers, intervals of decrease, and relative extrema of a rational function

Example 8: Finding the crtiical numbers, intervals of decrease, and relative extrema of a cube root function.

Example 9: Finding the critical numbers, intervals of increase and decrease, and relative extrema of a function

Overview: Concavity and inflection points

Example 10: Using the graph of the second derivative to determine the concavity and inflection points of a function

Example 11: Using the graph of the second derivative to determine the concavity and inflection points of a function

Example 12: Using the graph of the second derivative to determine the concavity and inflection points of a function

Overview: Vertical and horizontal asymptotes

Example 13: Finding the asymptotes of a rational function

Overview: Analysis of a function

Example 14: Analyzing a function

Example 15: Analyzing the graph of the first derivative to find features of the original function