Inverse of a Function In Tables, Graphs, & Equations • [1.4] PRE-CALCULUS 12

Learn about the concept of the inverse of a function, with the concept being addressed in three ways: graphically, numerically, and algebraically. See that the inverse can be found by reversing the coordinates of points in a table, or switching x and y in the equation, or reflecting a function over the line y=x in a graph.

Corresponds to chapter 1, section 1.4 in McGraw-Hill's Pre-Calculus 12, but also fits with the Function Transformations unit from almost any other Pre-Calculus course or textbook.

My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

#precalc12bytheaamg

00:00 Introduction
00:19 Inverse in the Real World: Leaving Home vs. Returning Home
02:08 Inverse Functions Meaning
02:48 Looking at Inverses Numerically
04:47 Looking at Inverses Graphically
07:20 Looking at Inverses Algebraically
10:04 Inverse Function Notation
11:23 Graphing the Inverse by Reflecting Over the Line y=x
12:49 Graphing the Inverse by Reversing Coordinates of Points
13:30 Determine the Inverse Algebraically and Graphically
16:10 Is the Inverse a Function?
19:28 SUMMARY of Inverses of Functions
20:52 Wrap Up and End Screen