Help with understanding piecewise functions See Attachment
The answers are there, but I don't understand the steps completely and why they are necessary
Most of this is just using what you know about lines. \[slope=(y _{2}-y _{1})/(x _{2}-x _{1})\]and also point slope form:\[y-y_{1}=m(x-x _{1})\] to find the equation of the line. Which part specifically are you having trouble with?
Also I would recommend drawing it to help you visualize what the graph should look like.
The more I read over it I understand the constructing of the linear functions but where do the inequalities come from
The inequalities describe when that function is valid. For example the 1 hour break. This is represented in the function with G(t)=14 for 3<t<=4 because it happens between hours 3 and 4.
oooh okay, thank you
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