MAT117_FINALEXAM_REVIEW

MAT117_FINALEXAM_REVIEW - MAT117 Review for Final Exam...

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MAT117 Review for Final Exam Domain of functions 1. Find the domain of the following functions: a. 12 3 ) ( = x x f b. 4 15 3 ) ( + = x x f 2. Find the domain of the following functions: a. x x x x f 5 3 2 ) ( 2 + + = b. 2 ( ) 25 x f x x = 3. Find the domain of the following functions: a. ) 7 2 ( log ) ( 2 = x x f b. ) 5 4 ln( ) ( x x f + = Difference quotient 4. Find and simplify the difference quotient, h x f h x f ) ( ) ( + , 0 h for the function 2 3 ) ( x x x f = 5. Find and simplify the difference quotient, h x f h x f ) ( ) ( + , 0 h , for the function, x x f 4 ) ( = . Average rate of change 6. Find the average rate of change for 2 ( ) 3 2 f x x x = + from x = -1 to x = 4. 7. Find the average rate of change for 2 3 ) ( x x f = from x = –1 to x = 3. Transformations 8. Find the function, g ( x ), that is finally graphed after the following transformation are applied to the graph of , 2 x y = but is reflected across the x-axis, shifted down 1 unit and finally shifted right 3 units. 9. Find the function, g ( x ) that is finally graphed after the following transformation are applied to the graph of , 2 x y = but is reflected across the x-axis, shifted up 1 unit and finally shifted left 2 units. Linear functions and their applications 10. A truck rental company rents a moving truck one day by charging $35 plus $0.05 per mile. Write a linear equation that relates the cost C , in dollars, of renting the truck to x , the number of miles driven. What is the cost of renting the truck is driven 180 miles? 11. The Monthly cost C, in dollars, for international calls on a certain cellular phone plan is given by the function ( ) 0.38 5 C x x = + , where x is the number of minutes used. What is the cost if you talk on the phone for x=50 minutes? Linear Regression 12. The table shows (lifetime) peptic ulcer rates (per 100 population) for various education levels as reported by the 1989 National Heath Interview Survey. Using a graphing calculator, find the regression line and use that line to predict the ulcer rate in 17 years. Educational Level (Year), t 8 11 12 15 Ulcer Rates, R 17 15.5 12 10
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Application of Quadratic Function/ max & min 13. A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 350 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? 14.
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This note was uploaded on 01/04/2011 for the course MAT 117 taught by Professor Al-kofahi during the Spring '09 term at University of Phoenix.

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MAT117_FINALEXAM_REVIEW - MAT117 Review for Final Exam...

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