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Common Core Algebra Unit 16: Other Types of Functions 5/2/17Lesson 1: Square Root FunctionsObjective: SWBAT graph square root functions.Do Now: Solve for x. (Hint: What is the opposite of taking the square root?)Turn and Talk:Consider -4Why are neither 2 nor ?2 the correct square root of ?4 ?What can you conclude about taking square roots of negative numbers? Explain.Group Task:Consider f(x) =xModel Example:The “parent” or original graph of a square root function is y=x .Using your calculator, graph the function y=x +2 using a table of values.State the domain and range.Explain the shift of the graph from the parent function.Check for Understanding:1. Using your calculator, graph the function y=x+4 using a table of values.State the domain and range.Explain the shift of the graph from the parent function.Lesson Summary:A square root function can be graphed using a table of values.Choose input values that will create a _________ _________ under the square root sign. Partner Practice:The graph of y=x is shown below.Problem Set:9. a) Explain the effect adding/subtracting a number on the outside of a square root symbol will have on the graph.b) Explain the effect adding/subtracting a number on the inside of a square root symbol will have on the graph.10. Draw the graph of on the set of axes below.11. Graph the function on the set of axes below.12. The equation relates speed of sound, V, in meters per second, to air temperature, C, in degrees Celsius. What is the temperature, in degrees Celsius, when the speed of sound is 320 meters per second? [The use of the accompanying grid is optional.] ................
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