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)

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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