## Question

###### [3 points] Sketch the graph of the piecewise function: (6 - x if x < 2 x-6 if x22 The "window" of your hand-sketched graph should be _5 < x < 5 and ~10 <y < 10[4 points] Sketch the graph of the piecewise function: if x <-2 ~X+1 if _ 2 <x <3 x2/4 if x >3The "window" of your hand-sketched graph should be -5 < x < 5 and10 < y < 10[8 points] The monthly charges of the Central Texas Gas Company are as follows:Gas Used First 75 cubic meters Ne

[3 points] Sketch the graph of the piecewise function: (6 - x if x < 2 x-6 if x22 The "window" of your hand-sketched graph should be _5 < x < 5 and ~10 <y < 10 [4 points] Sketch the graph of the piecewise function: if x <-2 ~X+1 if _ 2 <x <3 x2/4 if x >3 The "window" of your hand-sketched graph should be -5 < x < 5 and 10 < y < 10 [8 points] The monthly charges of the Central Texas Gas Company are as follows: Gas Used First 75 cubic meters Next 100 cubic meters Next 250 cubic meters Above 425 cubic meters Charge 523.00 minimum cost 126 per cubic meter 9c per cubic meter 6c per cubic meter (a) Construct a function that can be used to compute the monthly gas bill (b) Use the function to find the costs of 260 and 830 cubic meters of gas.

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