How to Graph & Describe an Exponential Function

Опубликовано: 08 Январь 2025
на канале: The Magic Of Math

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In this video lesson, I will define and explain exponential equations. Students will learn to distinguish between linear and exponential equations. Reviewing that a linear function has a pattern of repeated addition, and an exponential function has a pattern of repeated multiplication. Students will learn the characteristics of exponential functions. Graphing exponential functions is modeled, exemplar problems are provided, and student practice is embedded in the lesson.

00:00 - Introduction
00:47 - Parent Function of an Exponential Function
01:11 - Graph of an Exponential Function
04:07 - The Steps to Graphing an Exponential Function
05:05 - Graphing & Describing an Exponential Function Ex. 1
07:57 - Graphing & Describan Exponential Function Ex. 2
09:24 - Student Practice #1
10:47 - Student Practice #2

HSF-IF.B.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
HSF-IF.C.7e Graph exponential ... functions, showing intercepts and end behavior, ...
HSF-IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
HSF-BF.B.3 Identify the effect on the graph
HSF-LE.A.1a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.