Week 5 Notes

# Week 5 Notes - F unction Each input must have exactly one...

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Function: Each input must have exactly one output A correspondence in which each member of the domain is matched with exactly one member or the range Domain Range 23 1 18 23 19 This IS a function Domain: A set of numbers Correspondence: Area of a triangle Range: a set of triangles Can a member of the domain correspond to more than one member of the range? YES Since members of the domain can be paired with more than one member of the range, is the correspondence a function or not a function? NOT A FUNCTION Domain: A set of numbers Correspondence: Area of a triangle Range: A set of triangles NOT A FUNCTION Domain: Set of packages Correspondence: Mailing address Range: Set of zip codes NOT A FUNCTION F(X)=X+4 F(0)=4 F(-14)=-10

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Given the function h described by h(x)=5x find each of the following H(-18) h(-18)=5(-18) -90 H(1) h(1)=5(1) 5 H(26) h(26)=5(26) 130 Find the indicated outputs for F(0)=0 F(-1)= 3+5= 8 F(2)= 12-10=2 The function H(x)=2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder is x cm long. Predict the height of a woman whose humeris is 34cm long. H(34)= 2.75(34)+71.48 H(34)= 93.5+71.48=164.98 The function p(d)=1+ d/33 gives the pressure in atmospheres (atm), at a depth d in the sea (d is in feet). Note that p(0)=1atm P(33)=2, and so on. Find the pressure at 190 feet. P(190)= 1+ 190/33= 1/1+190/33= 33/33+190/33= 223/33
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Week 5 Notes - F unction Each input must have exactly one...

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