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Examples and instructions for determining which piece of a piecewise function to use based on domain restrictions, evaluating the function for given x values, graphing piecewise functions, finding zeros and intercepts, and writing equations for piecewise functions. It includes exercises for practice.
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In the lab, we cut and pasted pieces of functions together to create the graph.
Sketch on your whiteboard
To find the yint (0,y): 1] Find the subfunction where x=o works in the subdomain 2] Substitute 0 for x in that subfunction and evaluate To find the zeros (x,0): 1] Set each subfunction equal to zero and solve for x 2] Check the zeros for each subfunction in its subdomain. If it is restricted from the domain, it is extraneous.
To find the yint (0,y): 1] Find the subfunction where x=o works in the subdomain 2] Substitute 0 for x in that subfunction and evaluate To find the zeros (x,0): 1] Set each subfunction equal to zero and solve for x 2] Check the zeros for each subfunction in its subdomain. If it is restricted from the domain, it is extraneous. Zero(s): yint: