Pre-Calculus Practice Problem 105

# Pre-Calculus Practice Problem 105 - 2. Graph on the same...

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Unit 3, Activity 6, Working with Exponential and Logarithmic Functions Blackline Masters, Advanced Math-Pre-Calculus Page 103 Comprehensive Curriculum, Revised 2008 1. Start with the graph of y = 3 x . Write an equation for each of the conditions below and sketch the graph labeling all asymptotes and intercepts. Verify your answer with a graphing utility. a) Reflect the graph through the x -axis. b) Reflect the graph through the y -axis. c) Shift the graph up 3 units and translate the graph 4 units to the left. d) Reflect the graph over the x -axis, then shift it 2 units to the right.
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Unformatted text preview: 2. Graph on the same set of axes: f ( x ) = 2 x and g ( x ) = log 2 x . What is the relationship of f ( x ) and g ( x )? 3. Fill in the table below: f(g(x)) = f(x) g(x) Domain of f(g(x)) Domain of f Domain of g 1. ln(x 2-4) 2. e |x| 3. (1 lnx) 2 4. x 1 2 4. Which of the composite functions in the table above are even, odd, or neither? How do you know? 5. Which of the functions in the table have an inverse that is a function? Justify your answer. 6. For those function/s that have an inverse find ) ( 1 x f ....
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