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7.3 Power Functions and Function Operations PowerPoint PPT Presentation


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7.3 Power Functions and Function Operations. Objectives/Assignment. Perform operations with functions including power functions Assignment: 13-51 odd. In chapter 6 you learned how to add, subtract, multiply, and divide polynomial functions. These operations can be defined for any function.

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7.3 Power Functions and Function Operations

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7 3 power functions and function operations l.jpg

7.3 Power Functions and Function Operations


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Objectives/Assignment

  • Perform operations with functions including power functions

  • Assignment: 13-51 odd


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In chapter 6 you learned how to add, subtract, multiply, and divide polynomial functions. These operations can be defined for any function.

The domain of h consists of the x-values that are in the domains of both f and g. Additionally, the domain of a quotient does not include x-values for which g(x) = 0.


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So far you have studied various types of functions, including linear functions, quadratic functions, and polynomial functions of higher degree.

Another common type of function is a power function:

Where a is a real number and b is a rational number.

Notice when b =1, f(x) is a linear function.

when b=2, f(x) is a quadratic function.

when b=3, f(x) is a cubic function.


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Here is another way to write the composition of f and g:


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