Khan Academy
Khan Academy: Analyzing Graphs of Exponential Functions
Given the graph of an exponential function, Sal finds the formula of the function and a value that is outside the graph.
Khan Academy
Khan Academy: Analyzing a Function With Its Derivative
Taking the derivative of f(x)=x^3-12x+2 and graphing the derivative, so we can tell when f is increasing or decreasing, and where is its relative extremum points.
Khan Academy
Khan Academy: Analyzing Concavity (Algebraic)
Sal finds the intervals where g(x)=-x^4+6x^2-2x-3 is concave down/up by finding where its second derivative, g'', is positive/negative.
Khan Academy
Khan Academy: Worked Example Positive & Negative Intervals
Finding the positive or negative intervals of a function from its graph.
Sophia Learning
Sophia: Evaluating a Function for an Algebraic Expression: Lesson 4
This lesson describes how to plug a function into an expression for every x appearance in order to evaluate a function for an algebraic expression. It is 4 of 10 in the series titled "Evaluating a Function for an Algebraic Expression."
Sophia Learning
Sophia: Logarithmic and Exponential Functions
Introduces logarithmic and exponential functions, showing how the two are related. Explains the components of each type of function, how to determine a function is exponential or logarithmic from a graph, and the affect of the components...
Sophia Learning
Sophia: Logarithmic and Exponential Functions
Introduces logarithmic and exponential functions, showing how the two are related. Explains the components of each type of function, how to determine a function is exponential or logarithmic from a graph, and the affect of the components...
Sophia Learning
Sophia: Application of Percent of Change
Here we look at how to apply percent of change in a real world situation through the use of a word problem.
Sophia Learning
Sophia: Determining a Geometric Sum Representing Exponential Growth or Decay
In this lesson, students will learn Determining a Geometric Sum representing Exponential Growth or Decay
Sophia Learning
Sophia: Using Static Rates of Change: Lesson 3
This lesson practices using the derivative to find a ratio of one parameter to another, which is not time. It is 3 of 6 in the series titled "Using Static Rates of Change."
Sophia Learning
Sophia: Using Static Rates of Change: Lesson 6
This lesson practices using the derivative to find a ratio of one parameter to another, which is not time. It is 6 of 6 in the series titled "Using Static Rates of Change."
Sophia Learning
Sophia: Algebra 1: Exponential Growth in the Real World
Exponential growth problems are examined in this lesson. Students watch a video that reviews how to set up exponential growth application problems. Includes short quiz. [2:27]
Sophia Learning
Sophia: Algebra I: Exponential Functions in the Real World: Lesson 1
This lesson will provide real-world examples that involve graphing exponential functions. It is 1 of 5 in the series titled "Exponential Functions in the Real World." [4:18]