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# NewFromOld - Use algebra to find the value of 1(78 L −...

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NEW FUNCTIONS FROM OLD (1.3) NAME__________________________________ 1. Give values so that the table represents an invertible function m 1 2 3 4 5 () fm 0.09 ____ ____ 7.80 9.40 2. For what values of A and K will be a one-to-one function? 3 () St A t K =− 3. Determine if the following functions are invertible. Give reasons for your answers. A. is the amount of sales tax on an item of clothing that sells for dollars. () fd d B. is the number of students waiting in line at the UA Catcard Office on the first day of classes () gt as a function of time (since the office opened that morning). 4. The life expectancy, L , of a child can be modeled by the function below. The variable y is the year of birth in relationship to 1980. For example, corresponds to 1980. 0 y = 96.94 () 0.01 1.3 y Ly y + = + A. Give a practical interpretation of . Find the value of (10) L (10) L B. Give a practical interpretation of

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Unformatted text preview: . Use algebra to find the value of . 1 (78) L − 1 (78) L − 5. Let 2 ( ) 1 x f x x = + and 1 ( ) 1 g x x = + . Find and . Simplify completely. ( ( )) f g x ( ( )) g f x 6. Use the numerical representation of below to match the numerical information in ( ) f x column A with the symbolic representation in column B. x -4 -2 0 2 4 ( ) f x 5 1 6 2 7 Column A Column B ( i ) ( 2 f x ) − ( ii ) 1 2 f x ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ x -4 -2 0 2 4 ( ) g x 7 3 8 4 9 x -2 -1 0 1 2 ( ) h x 5 1 6 2 7 ( iii ) ( ) 2 f x + x -2 0 2 4 6 ( ) k x 5 1 6 2 7 ( iv ) ( ) f x − x -8 -4 0 4 8 ( ) m x 5 1 6 2 7 ( v ) ( 3) f x 4 − + x -4 -2 0 2 4 ( ) n x-5 -1 -6 -2 -7 ( vi ) ( ) f x − x 4 2 0 -2 -4 ( ) p x 5 1 6 2 7 ( vii ) ( 2 f x ) + x 7 5 3 1 -1 ( ) q x 11 6 10 5 9 ( viii ) (2 ) f x...
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## This note was uploaded on 04/11/2011 for the course MATH 1400 taught by Professor Grether during the Fall '08 term at North Texas.

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NewFromOld - Use algebra to find the value of 1(78 L −...

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