Graphing Cube Root Functions Worksheet Answers Worksheet by Kuta Software LLC PreAP Algebra 2 Extra Practice Graphing Cube Root and Cubic Functions Name 1 Sketch the graph of each function 1 y 1 2 3 x 1 x y 8 6 4 2 2468 8 6 4 2 2 4 6 8 2 y 2 3 x 3 x y 8 6 4 2 2468 8
Graphing Cube Root Functions Practice and Problem Solving A B Graph each cube root function Then describe the graph as a transformation of the graph of the parent function The graph of the parent function is shown 1 gx x 3 2 3 2 3 1 2 3 2 gx x Write the equation of the cube root function shown on the graph Graphing Cube Roots and Cubic Functions Sketch the graph of each function by using three key points 3 8x 1 y 27 8 6 4
Graphing Cube Root Functions Worksheet Answers
Graphing Cube Root Functions Worksheet Answers
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5 4 Graphing Cube Root Functions Learning Target Graph and describe cube root functions Success Criteria I can graph cube root functions and describe their characteristics I can graph and describe transformations of cube root functions Describe the transformation of each of the following cube root functions from the parent function yx3 Graph each function 11 yx 3 21 12 3 13 13 yx 3 34 14 213 15 What is the domain and range for all cube root functions Use your graphing calculator to find the solution to the following 16 When you look at the ocean the distance
Graph cube root functions Compare cube root functions using average rates of change Solve real life problems involving cube root functions Graphing Cube Root Functions The graph of f x 3 x increases on the entire domain You can transform graphs of cube root functions in the same way you transformed graphs of square root functions Explore Graphing and Analyzing the Parent Cube Root Function The cube root parent function is x 3 x To graph x choose values of x and find corresponding values of y Choose both negative and positive values of x Graph the function x 3 x Identify the domain and range of the function Make a table of values
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For radical functions we will use the equation f x a x h k to denote the standard form of the equation Be aware that the variable x may have a coefficient from time to time Follow the standard procedure to find the x and y intercepts of any radical function Essential Question What are some of the characteristics of the graph of a cube root function Work with a partner Make a table of values for each function Use positive and negative values of x Use the table to sketch the graph of each function Describe the domain of each function Describe the range of each function
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