Pre-Cal 40S March 5, 2009
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The document discusses graphing reciprocal functions by transforming the square root function through a series of steps. It provides examples of finding the reciprocal of several numbers by first converting decimals to fractions. It also gives the equation y=x+2 and notes that a reciprocal is not the same as an inverse, labeling important points about invariant points when sketching reciprocal function graphs.
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The document discusses graphing reciprocal functions. It explains that taking the reciprocal of a number involves flipping it over the x-axis. It provides examples of taking the reciprocal of several numbers by converting decimals to fractions first. It notes that a reciprocal is not the same as an inverse. It indicates that sketching reciprocal function graphs involves identifying important points, including where the function has values of 1, 0, and infinity, which remain fixed, or invariant, points as the original function is stretched or compressed.
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Pre-Cal 40S March 5, 2009
- 1. Graphing Reciprocal Functions ... a mathematical quot;flipquot; Ollie_Backside_flip by quantum bunny
- 2. Sketch the following equations which are transformations of the square root function.
- 4. Write a set of equations that could be used to generate the following graph which involves a series of transformations of the square root function.
- 6. Find the reciprocal of each of these numbers. If it is a decimal number, convert it to a fraction first. 1 2 4 10 100 1000 1 000 000 1 0.5 0.25 0.1 0.01 0.001 0.000 001
- 7. Sketch the graph ƒ(x) = x + 2
- 8. Sketching reciprocal function graphs IMPORTANT: i.e a reciprocal is not the #3 same thing as an inverse #1 #4 Invariant #2 Points #4 #1 #3