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eBook
CK-12 Foundation

Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions

For Students 9th - 10th Standards
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
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Unit Plan
Lawrence Hall of Science

The Math Page: Topics in Precalculus: Logarithmic and Exponential Functions

For Students 9th - 10th Standards
Clearly and thoroughly explains the graphs of logarithmic and exponential functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
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Activity
Math Medics

S.o.s. Math: Logarithms and Exponential Functions

For Students 9th - 10th Standards
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
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Activity
Paul Dawkins

Paul's Online Notes: Exponential Functions Practice Problems

For Students 9th - 10th Standards
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
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Activity
Wolfram Research

Wolfram Math World: Exponential Function

For Students 9th - 10th Standards
This site contains graphs of the exponential function, identities relevant to the function, and the Maclaurin series for this function.
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Lesson Plan
University of Texas at Austin

Mathematics Teks Toolkit: Exponential Functions

For Teachers 9th - 10th Standards
Compare graphs of different exponential functions and determine the limitations of the functions.
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Graphic
Texas Instruments

Texas Instruments: Algebra 1: Exponential Functions

For Students 9th - 10th
Students will use examples and an interactive graph to explore exponential functions such as growth and decay.
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Handout
Richland Community College

Richland Community College: Exponential Functions and Their Graphs

For Students 9th - 10th Standards
The site explains exponential functions and characteristics of their graphs.
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PPT
Sophia Learning

Sophia: Algebra I: Exponential Functions in the Real World: Lesson 3

For Students 9th - 10th Standards
This lesson will provide real world examples that involve graphing exponential functions. It is 3 of 5 in the series titled "Exponential Functions in the Real World."
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Activity
Oregon State University

Calculus Quest: Power Functions

For Students 9th - 10th
This CalculusQuest site is details the power function by looking at the significance of the function, standard notation, the rules of exponentiation, domains and graphs of power functions, and also calculations. This site is a good...
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Unit Plan
Cuemath

Cuemath: Domain and Range of a Function

For Students 9th - 10th Standards
Explore the world of domain and range of a function in this mini-lesson. Learn how to find the domain and range of a graph, trigonometric functions, exponential functions, and domain and range equation. Includes examples and practice...
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Handout
Johan Claeys

Math Abundance: Exponential Functions: Graph and Properties

For Students 9th - 10th Standards
Shows several graphs of exponential functions and lists properties of them.
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Handout
Purple Math

Purplemath: Graphing Exponential Functions: Intro

For Students 9th - 10th Standards
An in-depth lesson which teaches you how to graph exponential equations. Examples are worked through step by step and explained in detail for different exponential equations.
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Unit Plan
Khan Academy

Khan Academy: Graphing Exponential Growth & Decay

For Students 9th - 10th Standards
Graph exponential functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Activity
Mathematics Archives

Math Archives: Exponential Functions

For Students 9th - 10th Standards
This site explores the difference between two types of graphs, one of which is exponential. Requires LiveMath plug in.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Two Points Determine an Exponential Function Ii

For Teachers 9th - 10th Standards
In this task, students are shown a graph of an exponential equation, with two points labeled with their coordinates, and are asked to find the values of a and b in the equation. Aligns with F-LE.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Two Points Determine an Exponential Function I

For Teachers 9th - 10th Standards
This is a simple task where young scholars are shown a graph of an exponential equation, with two points labeled with their coordinates, and are asked to find the values of a and b in the equation. Aligns with F-LE.A.2.
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Activity
University of Vienna (Austria)

The Graphs of Sin, Cos, and Tan Maths Online

For Students 9th - 10th
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
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Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
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Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
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Activity
Texas Instruments

Texas Instruments: Explore Graphs and Factors

For Students 9th - 10th Standards
Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...
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Unit Plan
TeachEngineering

Teach Engineering: Walk the Line: A Module on Linear Functions

For Teachers 7th - 9th Standards
This module leads students through the process of graphing data and finding a line of best fit while exploring the characteristics of linear equations in algebraic and graphic formats. Then, these topics are connected to real-world...
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PPT
Sophia Learning

Sophia: Comparing Linear, Quadratic, and Exponential Functions

For Students 9th - 10th Standards
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...