Graphing Radical Functions.

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Presentation transcript:

Graphing Radical Functions. What you’ll learn To graph square root and other radical functions Vocabulary Radical function. Square root function.

from the parent graph . This hold true for Note: The methods for graphing radical functions are similar to those presented for others functions in previous chapters. Graphs whose equations have the form are translated h units horizontally and k units vertically from the parent graph . This hold true for functions of the form the graph of the parent function . You will use graphing calculators to find the solutions for these problems.

Problem 1: Write domain and range for each function? How is the function related to the parent graph? Problem 2: Write domain and range for each function? How is the function related to the parent graph? Problem 3: How is the function related to the parent graph?

Problem 1: Problem 2: Problem 3: The domain of both functions are the set of nonnegative numbers. Range are Both graphs are vertical translations The ranges of both functions are the set of nonnegative numbers. Domain: Both graphs are horizontal translations. Problem 2: Problem 3: Multiply the y-coordinate by -1/2

Problem4: Solving a radical equation by graphing. You can model the population of Corpus Christi, Texas, between the years 1950 and 2005 by the radical function, ,where x is the year. .Using the model in what year was the population of Corpus Christi 250,000. Answer A. 1980 B. 1983 C. 1987 D. 1990 Remember graph Adjust the window to find where the graphs intersect. Use INTERSECT feature to find the x-coordinate.

Problem 5: Graphing a Cube Root Function Answer Remember to graph the parent function After the graph of the parent function you multiply the y-coordinate by 2. this stretches the graph vertically. The graph is translated the graph one unit to the left and 4 units down.

Problem 6: Rewriting a Radical Function. How can you rewrite so you can graph it using transformations? Factor to get x-h in the radicand The 2 means the graph is translated horizontally 2 units to the left, what is the meaning of 9? Apply properties of the radicals The 3 stretches the graph, a>1 is the graph of translated 2 units to the left.

Classwork odd Homework even TB pg 418 exercises 7-36