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Math143Final Review

Review for exam

Course

College Algebra (MATH 8)

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San José State University

Academic year: 2015/2016

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San José State University

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Math 143 College Algebra Final Exam Review Part 1 1. Write the equation of the line that passes through the point 3) and is perpendicular to the line 4x 5y 6. 2. The graph of f(x) is shown below. Draw the graph of g(x) 1) 3 y 5 4 3 2 1 0 x 0 1 2 3 4 5 For problems 3 8 use f(x) x2 2x, g(x) 3x 1, and h(x) simplify your answers when possible.) 3. ( f D g)(x) to find the following: (Remember to 2 4. g x 5. 2 g ( x) 1 6. f ( x h) f ( x ) h 7. h 8. h(4) 11. a.) For what value(s) of x does f(x) 2? b.) Identify the c.) Identify the 12. a.) For what values of x is the graph of f(x) increasing? b.) For what values of x is the graph of f(x) decreasing? c.) For what values of x is the graph of f(x) constant? The graph of a polynomial function, f(x), is given below. Use this graph to answer questions 13 18 below y 0 x 0 1 2 3 4 13. Is the degree of f(x) even or odd? How do you know? 14. What can be said about the leading coefficient of f(x)? Why? 15. What is the minimum degree of f(x)? How do you know? 16. Counting multiplicities, what is the minimum number of real zeros of f(x)? 17. State each zero of f(x) and whether its multiplicity is even or odd. 18. Write one possible equation for f(x). x 2 4 x 3 19. Evaluate the function f ( x) at the given values of the independent variable and simplify: a) f (4) b) f (3) c) f( 22. Graph the system of inequalities x2 y2 9 23. Match each equation to its type Equation Letter of Match (x 3)2 (y 1)2 16 y 2x 3 2 x 3x 2 x2 9 (x 3)2 2(y 1)2 9 y 4x4 3x2 5 Types A. Linear B. Quadratic C. polynomial D. Rational Function E. F. H. J. Circle Ellipse Hyperbola Parabola 24. For each of the following equations, complete the square and draw the graph. . a) 9x2 16y2 18x 64y 71 0 25. Evaluate the following: 0! 1! 5! 26. Evaluate 27. Find the third term of (x 3)9. Math 143 Final Review, Part 2 1. Solve: 1. Solve: 2x 3 x 2 2 x 3 4 x 10 0 1. Solve: 5 x 2 13 3. The function f ( x ) x 2 46 x 360 models the daily profit, f ( x ) , in hundreds of dollars for a company that manufactures x computers daily. How many computers should be manufactured each dayy to maximize pprofits? What is the corresponding p g maximum daily y pprofit? 3. Find all the roots of x 4 4 x 3 16 x 2 24 x 20 0 given that 1 3i is a root of the equation. 3. Graph the rational function: ƒ ( x) x 4. Solve: 22 3 35 4. Solve: log 3 ( x 5) log 3 ( x 3) 2 4. The formula R 6e12 x , where x is the blood alcohol concentration, models the risk, R, of having a car accident. (R is a ppercent.)) What blood alcohol concentration corresponds p to a accident risk? 7. Write the standard form of the equation of an ellipse with foci at (0, and (0,3), and vertices at (0, and (0, 4) : 7. Find the standard form of the equation of a parabola with vertex at (2, 3) and focus at (2, 5).

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