PRINTABLE VERSION. Practice Final. Question 1. Find the coordinates of the y-intercept for 5x 9y + 6 = 0. 2 (0, ) 3 3 (0, ) 2 2 (0, ) 3 6 (0, ) 5

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1 PRINTABLE VERSION Practice Final Question Find the coordinates of the y-intercept for 5x 9y + 6 = 0. (0, ) (0, ) (0, ) 6 (0, ) 5 6 (0, ) 5 Question Find the slope of the line: 7x 4y = Question Practice Final Exam.htm[//06 7::04 AM]

2 Solve the following equation for x : + = 8 5x 5x Question 4 Paul has coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 40 cents in coins, how many coins of each type are in his pocket? 7 dimes and 5 quarters 8 dimes and 4 quarters 4 dimes and 8 quarters 5 dimes and 7 quarters 9 dimes and quarters Question 5 Solve the system for x : 6x + y = 50 x y = Practice Final Exam.htm[//06 7::04 AM]

3 4 Question 6 Solve the following system: 5x y = 4 6y + 0x = 8 40 x =, y = 84 x =, y = 8 x =, y = Infinitely many solutions. No solution. Question 7 Find the domain of the following function. Express the answer in interval notation. 9 x [, ) 9 8 (, ) 9 All real numbers 8 (, ] 9 8 (, ) 9 Question 8 Use completing the square to rewrite the equation: x + 4 x 8 = 0 Practice Final Exam.htm[//06 7::04 AM]

4 (x + ) = 6 (x ) = 6 (x + 4) = 4 (x ) = (x + ) = Question 9 Solve the equation: x 5x = 6 x =, x = 8 x =, x = 6 x =, x = 6 x =, x = 6 x =, x = 6 Question 0 Simplify the following expression and write in the form a + bi: i 54 8 i 54 8 i i 9 i Practice Final Exam.htm[//06 7::04 AM]

5 Question Find all complex solutions to the equation: 4 x + 49 = 0 x = 7, x = x = i, x = i x = 7i, x = 7i x = i, x = i 7 7 x = 7, x = 7 Question Find all solutions to the following equation: x = x f) x = 7, x = 5 x = 9, x = x = 7 x = 5 x = 0, x = 7 x = 0 x =, x = 8 g) None of the above Question Solve the inequality for x, given that (x (6 4x) > 0 ) (, ) (, ) (, 0) (0, 4) (, ) (, 4) Practice Final Exam.htm[//06 7::04 AM]

6 (, ) (4, ) (, 0) (, ) Question 4 Solve the inequality for x, given that: x + x 5 0 [, 5) [,5) (, 5) (5, ) [,5] (, ] (5, ) Question 5 Solve the following inequality and give the answer in interval notation: x + > 7 (, 5) (, ) 4 0 (, ) (, ) 9 9 No Solution. (5, ) 4 0 (, ) 9 9 Question 6 Solve the for x : x 4 +9 = 8 { } Practice Final Exam.htm[//06 7::04 AM]

7 {, } 5 {, } No Solution. {, } Question 7 For the function f given by evaluate x x + 4 f(x + h) f(x) h x + h x h x h x + h + x h Question 8 Find the domain of the function x + 5 x + 6 [5, 6) (6, ) [5, ) (6, ) (5, 6] [6, ) (5, ) Practice Final Exam.htm[//06 7::04 AM]

8 Question 9 Suppose that y = f(x) is an odd function such that (,) is a point on the graph of f. Which of the following points belong to the graph of f? (, ) (, ) (, ) (, ) (,) Question 0 Find the vertex of the graph of 5 x 40x + 94 (4, 4) (4, 4) (4, 4) (4, 4) (0,4) Question Given the following functions, find (f g)(x). x + 5 x + 5 g(x) = x + x + 0 x + 5 x + 4 Practice Final Exam.htm[//06 7::04 AM]

9 x + 6 x + 8 x + 8 x + x + x + x + 8 Question Given x 8 Let g be the inverse of f. Find g(x). g(x) = 8x x g(x) = 8x + x g(x) = 8x + x g(x) = 8x x g(x) = 8 x + Question What transformations are needed to go from the graph of the basic function Shift right units, and shift down units. Shift up units. x to the graph of g(x) = x + + Practice Final Exam.htm[//06 7::04 AM]

10 Shift left units, and shift up units. Shift right units, and shift down units. Shift up units, and shift down units. Question 4 Which of the following functions matches the graph below? x + 4 x 4 x x 4 x + 4 Question 5 Which of the following functions could correspond to the graph below? Practice Final Exam.htm[//06 7::04 AM]

11 (x )x (x + ) (x + )x (x ) x(x ) (x + ) (x )x (x + ) (x )(x + ) x Question 6 Find the function, whose graph is shown below Practice Final Exam.htm[//06 7::04 AM]

12 (x )(x ) (x + 5)(x ) (x + )(x ) (x 5)(x ) (x )(x + ) (x + 5)(x ) (x + )(x + ) (x 5)(x + ) (x )(x + ) (x + 5)(x + ) Question 7 Which of the following functions corresponds to the graph? Practice Final Exam.htm[//06 7::04 AM]

13 x x x+ + x + x+ Question 8 Find the function, whose graph is shown below Practice Final Exam.htm[//06 7::04 AM]

14 lo g (x + 4) lo g 4 (x ) lo g 4 (x + ) lo g (x 4) lo g (x + 4) Question 9 Find the asymptote of the logarithmic function log( x + 8 ) x = 8 x = 8 y = 8 x = 8 Practice Final Exam.htm[//06 7::04 AM]

15 y = 8 Question 0 Find the range of ( x+0 ) + 6 (-, 6) [ 0, ) ( 6, ) (-, 6 ) [ 6, ) Question Given the polynomial, the behavior of the x -intercept x = resembles to the shape of Cubic downward from left to right Parabola, upward Cubic upward from left to right Parabola, downward Decreasing line Question Find the zero(s) of the function P(x) = (x + ) (x 5) (x ) 4 P(x) = x + 4 x x 4 Practice Final Exam.htm[//06 7::04 AM]

16 -4 {,, 4} {, 4} {, 4, 4} {,, 4 } Question Find a polynomial with integer coefficients that satisfies the following conditions : Degree of polynomial : Zeros :, i Constant coefficient : 90 P(x) = x 0 x + 45x 90 P(x) = x 5 x + 45x 90 P(x) = x + 0 x + 45x + 90 P(x) = x 5 x 45x 90 P(x) = 5 x 0 x + 45x 90 Question 4 Find the y-intercept(s) of the function x There are no y-intercept. Practice Final Exam.htm[//06 7::04 AM]

17 Question 5 Find the horizontal asymptote(s), if any, of the function 5 x 5 y = 5 y = There are no horizontal asymptotes. y = 0 y = 5 Question 6 Rewrite the following expression by using the laws of logarithms: x 8 ( x 5) log( ) y 5 z 8 8log(x) + log( x + 5) log(y 5) 8log(z) log(x) + 8log( x + 5) log(y 5) 8log(z) 8log(x) log( x + 5) log(y 5) 8log(z) 8log(x) log( x 5) + log(y + 5) + 8log(z) 8log(x) + log( x + 5) + log(y 5) + 8log(z) Question 7 Rewrite the following expression as a single logarithm: 9log(W) + 0log(Z) log(u) 7log(Q) W 9 Z 0 log( ) U + Q 7 Practice Final Exam.htm[//06 7::04 AM]

18 0W 9 Z log( ) U Q 7 Z 9 W 0 log( ) U Q 7 9 Z log( ) U Q 7 W 0 W 9 Z 0 log( ) U Q 7 Question 8 Simplify the following expression: lo g 8 (9) lo g 8 (4) Question 9 Find all solutions to: 7 x0 = 5 log7 x = + 0 log5 log5 x = 0 log7 x = + 0 log5 log7 Practice Final Exam.htm[//06 7::04 AM]

19 5 x = log log7 x = 0 log5 Question 40 Solve for x: lo g 5 (x) + lo g 5 (x + ) = lo g 5 (0) x = 9 x = 5 x = 5, x = 4 x = 5, x = 4 x = 4 Practice Final Exam.htm[//06 7::04 AM]

Question 1. Find the coordinates of the y-intercept for. f) None of the above. Question 2. Find the slope of the line:

Question 1. Find the coordinates of the y-intercept for. f) None of the above. Question 2. Find the slope of the line: of 4 4/4/017 8:44 AM Question 1 Find the coordinates of the y-intercept for. Question Find the slope of the line: of 4 4/4/017 8:44 AM Question 3 Solve the following equation for x : Question 4 Paul has