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Media4Math  Graphs of Logarithmic Functions

Graphing Logarithmic Functions

In this example, an increasing logarithmic function is graphed.

Review of graphs of logarithmic functions:

In this set of Math Tutorials, we graph logarithmic functions written in this form:

y = a•logb(cx + d)

In this function, the terms a, b, c, and d are constants.

Logarithmic functions are inverses of exponential functions. This means that the graph of a logarithmic function is the mirror image of the corresponding exponential function along the line y = x.

In this set of Math Tutorials, we look at the following logarithmic function graphs:

We also look at logarithmic function graphs that are increasing functions and decreasing functions.

Learn More About Math Tutorials

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The library of Math Tutorials is a comprehensive collection of worked-out solutions to common math problems. This overcomes a common limitation of most textbooks: the handful of worked-out examples for a given concept. We provide the full array of examples and solutions, allowing students to identify patterns among the solutions, in order to aid concept retention. We also have quizzes for many of these topics.

Our current inventory of Math Examples include:

  • Math Tutorial: Examples Using Algebra Tiles
  • Math Tutorial: Solving Equations in One Variable
  • Math Tutorial: Solving Equations with Fractions
  • Math Tutorial: Solving Equations with Percents
  • Math Tutorial: Slope formula
  • Math Tutorial: Midpoint formula
  • Math Tutorial: Distance formula
  • Math Tutorial: Graphing linear functions, given m and b
  • Math Tutorial: Graphing absolute value functions
  • Math Tutorial: Graphing linear inequalities
  • Math Tutorial: Using the Point-Slope form
  • Math Tutorial: Finding the equation of a line given two points
  • Math Tutorial: Graphing parallel and perpendicular lines
  • Math Tutorial: Solving quadratics graphically
  • Math Tutorial: Solving quadratics by completing the square
  • Math Tutorial: Factoring Quadratics
  • Math Tutorial: Polynomial Expansion
  • Math Tutorial: Solving quadratics using the quadratic formula
  • Math Tutorial: Using FOIL
  • Math Tutorial: Graphs of Exponential Functions
  • Math Tutorial: Laws of Exponents
  • Math Tutorial: Graphs of Logarithmic Functions
  • Math Tutorial: Graphs of Rational Functions
  • Math Tutorial: Combining Rational Expressions
  • Math Tutorial: Graphs of Conic Sections