Determine the function notation, Mathematics

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Given f (x) = - x2 + 6 x -11 determine each of the following.

(a)    f ( 2)

(b)   f ( -10)

(c)    f (t )

Solution

(a)    f ( 2) = - ( 2)2  + 6(2) -11 = -3

(b)   f ( -10) = - ( -10)2  + 6 ( -10) -11 = -100 - 60 -11 ) -171

 Be careful while squaring negative numbers!

 (c ) f (t ) = -t 2 + 6t -11

Recall that we substitute for the x's whatever is in the parenthesis on the left. Frequently this will be something other than a number.  Thus, in this case we put t's into for all the x's on the left.

 


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