Lesson Overview:

 

• Changing standard form to exponential form

• Using Exponential form to solve equations

 

Part A: Changing standard form to exponential functions

You can practice changing standard form to exponential form using these diagrams 

 

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Part B: Using Exponential form to Solve Equations

Here we solve a linear exponential function by changing standard form to exponential form. After getting the same base we can cancel them out and drop down the exponents. Finally, we solve the equation.

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Examples:

 

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Here we solve a quadratic exponential equation by changing standard form to exponential form then checking. After changing 2x to “a” we continue to solve as a quadratic equation.

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SAT Testing of Rational Expressions and Equations

 

 

 

 

 

 

 

 

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The correct answer is B because we can change 81 into 34 then cancel the bases and solve for the exponents. X=2

Real World Application of Rational Functions

 

 

 

 

 

 

 

 

Conclusion:

After this lesson, students should be able to predict the shape of rational functions by using sign diagrams. After their predictions, they should be able to graph the functions on graph paper by following the basic rules learned. These skills can be used to predict the graph of rational functions when given the equation as shown in the example above.