7.5 graphing square root and cube root functionsPresentation 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: