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Whose Line Graph Is it Anyway?
Age 16 to 18
Challenge Level 
How might you rule out certain pairs of graphs and equations?
Where are the key points on each graph?
For each process, roughly what shape graph would you expect?
Which graphs or equations might be consistent with this?
Once you have matched a process, equation and graph how would you construct very convincing evidence that the match is correct?
Where are the key points on each graph?
For each process, roughly what shape graph would you expect?
Which graphs or equations might be consistent with this?
Once you have matched a process, equation and graph how would you construct very convincing evidence that the match is correct?
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Power Up
Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x