Radical Functions How do we graph radical functions

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Radical Functions • How do we graph radical functions and inequalities? • How do

Radical Functions • How do we graph radical functions and inequalities? • How do we transform radical functions by changing parameters? Holt. Mc. Dougal Algebra 2 Holt

Radical Functions Recall that exponential and logarithmic functions are inverse functions. Quadratic and cubic

Radical Functions Recall that exponential and logarithmic functions are inverse functions. Quadratic and cubic functions have inverses as well. The graphs below show the inverses of the quadratic parent function and cubic parent function. Holt Mc. Dougal Algebra 2

Radical Functions A radical function is a function whose rule is a radical expression.

Radical Functions A radical function is a function whose rule is a radical expression. A square-root function is a radical function involving. The square-root parent function is. The cube-root parent function is. Holt Mc. Dougal Algebra 2

Radical Functions Holt Mc. Dougal Algebra 2

Radical Functions Holt Mc. Dougal Algebra 2

Radical Functions Comparing Radical Graphs Describe how to obtain the graph of g from

Radical Functions Comparing Radical Graphs Describe how to obtain the graph of g from the graph of f. Vertical shift: 3 units up Horizontal shift: 5 units to the left 4 units down Vertical shift: Horizontal shift: 1 units to the right 6 units up Vertical shift: Horizontal shift: 1 units to the left Holt Mc. Dougal Algebra 2

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and range. Up 4 times as fast Domain: Range: Holt Mc. Dougal Algebra 2

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and range. Horizontal shift: 3 units to the left Domain: Range: Holt Mc. Dougal Algebra 2 Up 2 times as fast

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and range. Horizontal shift: 2 units to the right Domain: Range: Holt Mc. Dougal Algebra 2 3 times as fast

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and range. opposite Horizontal shift: 1 unit to the left Vertical shift: 2 units down Domain: Range: Holt Mc. Dougal Algebra 2 2 times as fast

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and range. Left 2 times as fast Domain: Range: Holt Mc. Dougal Algebra 2

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and

Radical Functions Graphing Radical Functions Graph the radical function and identify the domain and range. opposite Horizontal shift: 2 units to the right Vertical shift: 1 unit up Domain: Range: Holt Mc. Dougal Algebra 2 normal

Radical Functions Lesson 7. 1 Practice A Holt Mc. Dougal Algebra 2

Radical Functions Lesson 7. 1 Practice A Holt Mc. Dougal Algebra 2

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