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Pre-Calculus Practice Problem 112

Pre-Calculus Practice Problem 112 - in the coordinate plane...

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Unit 3, Activity 9, Library of Functions – The Exponential Function and Logarithmic Function Blackline Masters, Advanced Math-Pre-Calculus Page 110 Comprehensive Curriculum, Revised 2008 1. You are to create an entry for your Library of Functions. Two functions are to be added for this unit – the exponential function, f(x) = a x and the logarithmic function, f ( x ) = log b x . Write a separate entry for each function. Follow the same outline that you did for the previous entries. Introduce the parent function, include a table and graph for each function. Give a general description of the function written in paragraph form. Your description should include: (a) the domain and range (b) local and global characteristics of the function – look at your glossary list and choose the words that best describe this function. 2. Give some examples of family members using translation, reflection and dilation
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Unformatted text preview: in the coordinate plane. Show these examples symbolically, graphically, and numerically. Explain what has been done to the parent function to find each of the examples you give. 3. What are the common characteristics of each function? 4. Find a real-life example of how this function family can be used. Be sure to show a representative equation, table and graph. Does the domain and range differ from that of the parent function? If so, why? Describe what the special characteristics mean within the context of your example. 5. Be sure that: 9 your paragraph contains complete sentences with proper grammar and punctuation 9 your graphs are properly labeled, scaled and drawn 9 you have used the correct math symbols and language in describing this function...
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