7.5 graphing square root and cube root functions
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7.5 graphing square root and cube root functions

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    7.5 graphing square root and cube root functions 7.5 graphing square root and cube root functions Presentation Transcript

    • 7.5 Graphing Square Rootand Cube Root Functions
    • What are Radical Functions? Functions involving radicals! For example, are radical functions. Domain: x 0 Domain: all real #s Range: y 0 Range: all real #s
    • Graphing Radical Functions The graph of starts at (0,0) and passes through (1, a). The graph of passes through (0,0), (1, a) and (-1, -a). Examples: Graph each function.
    • Graphing Radical Functions General forms: Similar to absolute value and quadratic graphs: h shifts the graph horizontally. k shifts the graph vertically. a stretches the graph vertically.
    • Comparing Two Graphs Describe how to obtain the graph of from the graph of .
    • Your Turn! Describe how to obtain the graph of from the graph of .
    • Graphing Square Root Functions1. Sketch the “parent graph” using a dashed line.◦ Plot points (0, 0) and (1, a) then draw the curve.2. Shift the points using h and k.3. Draw in new curve for the final graph.Example:GraphDomain:Range:
    • Your Turn! Graph and state the domain and range.
    • Graphing Cube Root Functions Same as with square roots, but draw both sides. (Should be “s” shaped.) Parent graph goes through (0, 0), (1, a) and (-1, -a). Example:GraphDomain:Range:
    • Your Turn! Graph and state the domain and range.