6.5 - Graphing Square Root and Cube Root

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Presentation transcript:

6.5 - Graphing Square Root and Cube Root Functions

Ex 1: Graph x y 1 4 9 1 2 3 Domain of f(x) ? _____________________ Range of f(x)? _____________________ For square root functions, is the _____________ function. parent

Domain of g(x)? ___________ Range of g(x)? ___________ Right 3 Ex 2: Graph Transformations: Domain of g(x)? ___________ Range of g(x)? ___________ Right 3

Domain of h(x)? __________ Range of h(x)? __________ up 3 Ex 3: Graph Transformations: Domain of h(x)? __________ Range of h(x)? __________ up 3

Domain of f(x)? __________ Range of f(x)? __________ Down 2, left 5 Graph Transformations: Domain of f(x)? __________ Range of f(x)? __________ Down 2, left 5

Domain of g(x)? __________ Range of g(x)? __________ Graph Transformations: Domain of g(x)? __________ Range of g(x)? __________ Down 4, left 2, reflect in x-axis

Domain of h(x)? _________ Range of h(x)? _________ Graph Transformations: Domain of h(x)? _________ Range of h(x)? _________ Up 1, right 3, reflect in x-axis

Given the form , describe how a, h and k affect the shifting of ______________________________________ When a is negative, reflect x axis h: Left or right h: Up or Down Starting point: (h, k)

Graph x y –8 –1 1 8 –2 –1 1 2 Domain of f(x) ? _____________________ Range of f(x)? _____________________ For square root functions, is the _____________ function. parent

Domain of g(x)? ___________ Range of g(x)? ___________ left 2, up 3 Ex 5: Graph Transformations: Domain of g(x)? ___________ Range of g(x)? ___________ left 2, up 3

Domain of f(x)? __________ Range of f(x)? __________ Graph Transformations: Domain of f(x)? __________ Range of f(x)? __________ Up 2, reflect in x-axis

Domain of g(x)? __________ Range of g(x)? __________ Graph Transformations: Domain of g(x)? __________ Range of g(x)? __________ Right 4, reflect in x-axis

Domain of g(x)? __________ Range of g(x)? __________ Right 2, down 1 Graph Transformations: Domain of g(x)? __________ Range of g(x)? __________ Right 2, down 1

Given the form , describe how a, h and k affect the shifting of ______________________________________ When a is negative, reflect x axis h: Left or right h: Up or Down Starting point: (h, k)