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2 A parabola property L et f (x ) = x a. Show that for all

Chapter 7, Problem 45RE

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QUESTION:

2 A parabola property? ? L? et f? (x? ) = x a.? Show that ? fo?r all? ? y? . b.? Is this prope?rty? true fo?r f? ) = ? ?2 , where a ? is a nonzero real number? c.? Give a geometrical interpretation of this properly. d.? Is this pr?o? erty tru? e for f? (?x? x ?

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QUESTION:

2 A parabola property? ? L? et f? (x? ) = x a.? Show that ? fo?r all? ? y? . b.? Is this prope?rty? true fo?r f? ) = ? ?2 , where a ? is a nonzero real number? c.? Give a geometrical interpretation of this properly. d.? Is this pr?o? erty tru? e for f? (?x? x ?

ANSWER:

Solution Step 1: 2 Given function is f(x)=x (a) We have to show that f(x)f(=f (x+y) for all x =/ y xy 2 Here f(x)=x 2 f(y)=y 2

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