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Curated Video
Exponential Functions: Growth, Decay, and Graphing
This video provides an explanation of exponential functions, focusing on the form y = A to the power of X, where A is a constant and X is the variable. The video explains the concepts of exponential growth and decay with real-world...
Curated Video
Comparing Polynomial and Exponential Growth: Tables and Graphs
In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...
Curated Video
Naming Ordered Pairs in Exponential Functions
In this lesson, students will learn how to identify an ordered pair belonging to the same exponential function as two given ordered pairs. By understanding that exponential functions grow by equal factors on equal intervals, students can...
Brian McLogan
Learn to take the second derivative of exponential chain rule
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
What is exponential and logarithmic form
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Programming Electronics Academy
3 Ways to Use Acceleration in an Arduino Sketch
This tutorial covers three easy ways to implement some form of acceleration in your Arduino sketches. It will cover the following:
Linear Acceler
ation
Exponential Ac
celeration
Messing Around with the Squar
e root...
Linear Acceler
ation
Exponential Ac
celeration
Messing Around with the Squar
e root...
Curated Video
Modeling Population Dynamics: Exponential Equations and Stabilization
In this video, the concept of exponential functions is explained, specifically in relation to population growth and decay. The MacArthur-Wilson theory of biogeography is also discussed, which explores the equilibrium point between...
Catalyst University
Postulates of Quantum Mechanics: Eigenvalues & Eigenfunctions
Postulates of Quantum Mechanics: Eigenvalues & Eigenfunctions
Brian McLogan
Graphing exponential growth functions
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Overview of logs - Free Math Help - Help on math
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Transformations that convert one function to another exponential
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Graphing the exponential function with transformations
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Identify the transformations from fx to gx exponential functions
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Label the transformations domain and range from exponential function
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
How do the logarithmic and exponential parent graphs compare
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Graphing exponential function
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Learn how to model a word problem with exponential growth function
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
How do we know when we have a reflection for an exponential function
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Curated Video
Identifying Exponential Growth & Decay Functions
In this lesson on exponential growth and decay, students will learn to identify and interpret exponential functions. The teacher explains the characteristics of exponential growth and decay functions using real-world examples such as...
Brian McLogan
Transferring between exponential and logarithmic form
👉 Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Curated Video
Graphing Logarithmic Functions through Paper Folding
In this video, the teacher explains how to graph a basic logarithmic function by modeling paper folding. They discuss the relationship between exponential and logarithmic functions, and demonstrate how the number of folds needed to reach...
Brian McLogan
How to graph exponential functions
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Brian McLogan
How do we know a horizontal shift for a exponential function
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Brian McLogan
Graphing exponential functions
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...