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Square Root Functions

Square Root Functions. When I leave class today, I should be able to: 1. define, identify, and graph square roots functions. 2. describe limitations on the domains and ranges. 3. analyze situations modeled by square roots functions and formulate equations to solve problems. Don’t freak out….

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Square Root Functions

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  1. Square Root Functions When I leave class today, I should be able to: 1. define, identify, and graph square roots functions. 2. describe limitations on the domains and ranges. 3. analyze situations modeled by square roots functions and formulate equations to solve problems.

  2. Don’t freak out… • YOU learned the basics to graphing last unit. • This is just reinforcement!

  3. Where we see ‘em…

  4. Parent Square Root

  5. Visual representation: Graph

  6. Numerical representation:Table of Values

  7. Square Root Functions • Square root function is the inverse of the quadratic function. • When graphing a square root function, determine when the radicand would be negative and exclude those values from the domain.

  8. Graph a Square Root Function 1. Graph a square root function 2. Determine the domain and range of the function.

  9. Transformations of Square Root Functions Basic equations for the square root function: h translates the graph horizontally. k translates the graph vertically.

  10. You tell me… • What would placing a negative sign in front of the radical do? • What would placing a number like 2 in front of the radical do?

  11. Graph a translated square root function Identify the transformations on the graph of

  12. Analyze situations and formulate a square root equation to solve problems A lookout on a submarine in h feet above the surface of the water. The greatest distance d in miles that the lookout can see on a clear day is given by the square root of the quantity h multiplied by . A ship is 3 miles from a submarine. How high would the submarine have to raise its periscope in order to see the ship?

  13. Square Root Inequalities Graph the inequality:

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