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Expression 4: "g" left parenthesis, "x" , right parenthesis equals "f" prime left parenthesis, "P" . "x" , right parenthesis left parenthesis, "x" minus "P" . "x" , right parenthesis plus "P" . "y" Has graph. To audio trace, press ALT+T.

4

Expression 5: max left parenthesis, 0 , "g" left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to "y" less than or equal to "f" left parenthesis, "x" , right parenthesis left brace, 0 less than or equal to "x" less than or equal to "P" . "x" , right brace Has graph. To audio trace, press ALT+T.

5

Expression 6: "P" left parenthesis, 1 minus "t" , right parenthesis plus left parenthesis, "P" . "x" , 0 , right parenthesis "t" Has graph.

0

domain t Minimum:

less than or equal to "t" less than or equal to

1

domain t Maximum:

6

Expression 7: "F" equals left parenthesis, 1 third minus 1 quarter , right parenthesis "a" "f" left parenthesis, "a" , right parenthesis equals 2

equals

2

7

F = ${F} 1 eighth left parenthesis, 7 left parenthesis, StartFraction, "a" Over 3 , EndFraction , 0 , right parenthesis plus "P" , right parenthesis equals left parenthesis, 0.8 3 3 3 3 3 3 3 3 3 3 3 , 1.5 , right parenthesis

Label:

equals

left parenthesis, 0.8 3 3 3 3 3 3 3 , 1.5 , right parenthesis

8

9

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left parenthesis, 2 , 12 , right parenthesis

F = 2

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