Youtubedia
Mathematics for Economists
Chapter 4
Functions in general
Introduction to functions
Natural domain
The graph of a function
The sum, product, difference and ratio of two functions
Shifting graphs
Increasing and decreasing functions
Functions in general: Problems
Problem: Evaluate functions
Problem: Evaluate functions
Problem: Evaluate functions
Problem: Evaluate functions
Problem: Evaluate functions
Problem: Evaluate functions
Problem: Natural domain
Problem: Natural domain and range
Problem: Shifting graphs
Linear functions
Linear functions
Problem: Slope of a linear function
Problem: Graph of a linear function
Problem: Equations of linear functions from graphs
Problem: Equations of linear functions from two points or a point and a slope
Problem: System of equations and graphs of functions
Problem: System of equations with no solutions
Problem: Collections of points in the xy-plane
Problem: Collections of points in the xy-plane
Problem: Equations of a linear function from two points
Problem: Linear functions and the delta-notation
Problem: Equations of a linear function from a point and a slope
Nonlinear functions
Quadratic functions and polynomials
Rational functions
Power functions
Exponential functions
Logarithmic functions
Problems, Nonlinear functions
Problem: Quadratic functions and vertex
Problem: Quadratic functions and vertex
Problem: Min and max of quadratic functions
Problem: Max of a quadratic function
Problem: Max of a quadratic function
Problem: Power function
Problem: Exponential function
Problem: Exponential function
Problem: Logarithmic function
Problem: Exponential function
Problem: Logarithmic function
Problem: Logarithm of a product
Problem: Log of a number close to 1
Problem: Logarithm of a power
Problem: Logarithm of an exponential function
Problem: Exponential and logarithmic function
Problem: Logarithm
Problem: Solving equations using log and exp
Problem: Logarithmic laws
Composite and inverse functions
Composite functions
Injective, surjective and bijective functions
Inverse functions
Implicit relationship
Inverse functions: Problems
Problem: Inverse function
Problem: Inverse function
Problem: Inverse function
Problem: Interpreting the inverse function
Problem: Find inverse functions
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Problem: Logarithmic function
Problem
Simplify
\[ \frac{log \left( y2^x \right)-log \left( y \right)}{x}\]
Show solution
Solution
