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math_1315_spr08_final

math_1315_spr08_final - -2 3(b Containing the points(1 3...

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1 2 3 4 5 6 7 8 9 10 Total MATH 1315 Final Exam Instructor: C. Gunning Name: 1. 10 points Solve the following equations: (a) 3 x 3 = 9 x (b) e 2 x +5 = 8 (c) log x + log ( x + 15) = 2 1

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2. 10 points Graph the following polynomials by hand. Show all work! (a) f ( x ) = - 3( x - 5)( x - 1)( x + 2)( x + 4) (b) g ( x ) = - 2 x ( x + 2) 2 2
3. 10 points A farmer wants to fence three sides of a field with 12,000 feet of fencing. (The fourth side runs along a pre-existing fence.) What dimensions should he fence to give him the maximum area possible? 4. 10 points Determine all the asymptotes ( vertical , horizontal , oblique ) for the following func- tion. Do not graph! G ( x ) = x 3 - 1 x - x 2 3

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5. 10 points Perform the indicated exercise: (a) Determine the center and radius of the circle x 2 + y 2 - 6 x + 2 y + 9 = 0. (b) Find the x and y intercepts of the following circle ( x + 1) 2 + ( y - 1) 2 = 2 4
6. 10 points Find the equation of the line with the given properties (put final answer in y = mx + b form): (a) Slope = 3; containing the point (

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Unformatted text preview: -2 , 3) (b) Containing the points (1 , 3) and (-1 , 2) 7. 10 points Graph the following quadratic function by hand . Label the vertex and all inter-cepts. Show all work for credit! f ( x ) = x 2 + 2 x-8 5 8. 10 points The formula D = 5 e-. 4 h can be used to nd the number of milligrams D of a certain drug that is in a patients bloodstream h hours after the drug has been administered. When the number of milligrams reaches 3, the drug is to be administered again. What is the time between injections? 9. 10 points Graph the following rational function by hand. Show all work. f ( x ) = 4 x + 2 x-20 6 10. 10 points Find f ( x + h )-f ( x ) h , for f ( x ) = x 2-x +4. Be sure to simplify fully (as discussed in class). 7...
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