Alg_Complete

With the exception of the x this is identical to f t 1

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Unformatted text preview: unction notation we will “ask” this using the notation f ( 4 ) . So, when there is something other than the variable inside the parenthesis we are really asking what the value of the function is for that particular quantity. Now, when we say the value of the function we are really asking what the value of the equation is for that particular value of x. Here is f ( 4 ) . f ( 4 ) = ( 4 ) - 5 ( 4 ) + 3 = 16 - 20 + 3 = -1 2 Notice that evaluating a function is done in exactly the same way in which we evaluate equations. All we do is plug in for x whatever is on the inside of the parenthesis on the left. Here’s another evaluation for this function. f ( -6 ) = ( -6 ) - 5 ( -6 ) + 3 = 36 + 30 + 3 = 69 2 So, again, whatever is on the inside of the parenthesis on the left is plugged in for x in the equation on the right. Let’s take a look at some more examples. Example 2 Given f ( x ) = x 2 - 2 x + 8 and g ( x ) = x + 6 evaluate each of the following. (a) f ( 3) and g ( 3) [Solution] (b) f ( -10 ) and g ( -10 ) [Solution] (c) f ( 0 ) [Solution] (d) f ( t ) [Solution] (e) f ( t + 1) and f ( x + 1)...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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