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Graphs of Exponential Functions
In this example, the graph of a decreasing exponential function is shown.
Review of exponential functions:
In this set of Math Tutorials, the focus is on graphs of exponential functions. Our Math Tutorials deal with exponential functions written in this form:
y = a•bcx
The terms a, b, and c represent constants. In particular, b is the base of the exponential function. Our Math Tutorials deal with these values of b:
- Base 10
- Base 2
- Base e, for the irrational number e.
- We also look at decimal values of b.
The graphs of exponential functions can take two forms:
Increasing functions. With these types of exponential functions, the graph increases in value in going from left to right on the coordinate plane. These graphs are models of exponential growth.
Decreasing functions. With these types of exponential functions, the graph decreases in value in going from left to right on the coordinate plane. These graphs are models of exponential decay.
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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
