Graphing Radical Functions and Transformations: Understanding Math Concepts
Explore the concept of graphing radical functions, transformations, and identifying domain and range in mathematical functions. Learn how to graph each function and use a graphing calculator for accurate results.
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Bellwork Bellwork 1. da 2. g 3. sdf 4. ghgf
Graphing Radical Functions Section 5.3
What You Will Learn What You Will Learn Graph radical functions. Write transformations of radical functions. Graph parabolas and circles.
Graphing Radical Functions Graphing Radical Functions A radical function contains a radical expression with the independent variable in the radicand. When the radical is a square root, the function is called a square root function. When the radical is a cube root, the function is called a cube root function.
Graph each function. Identify the domain and range of each function. SOLUTION Make a table of values and sketch the graph. The radicand of a square root must be nonnegative. So, the domain is x 0. The range is y 0.
SOLUTION Make a table of values and sketch the graph. The radicand of a cube root can be any real number. So, the domain and range are all real numbers.
Writing a Transformed Radical Function Writing a Transformed Radical Function
Describe the transformation of f represented by g. Then Describe the transformation of f represented by g. Then graph each function. graph each function.
Use a graphing calculator to graph the function. Use a graphing calculator to graph the function. Then identify the domain and range of the function. Then identify the domain and range of the function.
Graphing a Parabola (Horizontal Axis of Symmetry) Graphing a Parabola (Horizontal Axis of Symmetry)