Math 003 Test Three Review Sheet This test covers Chapters 7 through 10. You may bring one 3 by 5 inch index card into the exam room with you. The student should be able to: determine whether a correspondence is a function evaluate a function graph a function by plotting points use the vertical line test for functions read a graph find the domain of a function from its equation find the slope of a line find the intercepts of a line find an equation of a line given a point and the slope find an equation of a line given two points solve a system of equation by substitution solve a system of equations by elimination solve linear inequalities solve compound inequalities solve absolute value equations write solutions in interval notation simplify radicals simplify expressions with rational exponents multiply and divide radical expressions I. Circle the functions below: Y 46. 7 . - 2 - 4 -1 x 0 -9 2 II. Evaluate the function for the given value: 1. f(x) = -2x3 + 1; f(-2), f(3) 2. f (t ) = It - 1 1; f(-1), f(4 ) 3. g(x) = 1 -x2; g(-1), g(2) III. Let y = f(x) be represented by the graph below. Find: 1. the domain of f. 2. the range of f. 3. f(-2) 4. f (-1 ) 5. f(0) 6. f(1 ) 7. x when y = -2 8. x when y = 3 9. x-intercepts 10. y-intercepts IV. State the domain of: 1. f ( x ) = = 7 2.) 8(x) = -1 1x2 3.) f (x) = /x|+ 1 4.) - 3x 5-x 4 + x x2 - 5x +4 V. Find the slope of the line passing through the following points: 1.) (3-1). (32) 2.) (4-21. (4,3) 3.) (2;-1). (5,3) 4.) (3,4) (-2,4) VI. Sketch. 1 . ) x - 2y = 4 2. ) 4x + 5y = 20 3.) y = = x-4 4.) x =-3 5.) y= 7 VII. Find the intercepts of:1. ) x - 2y = 4 2.) 4x + 5y = 20 3.) y = = x -4 4.) x=-3 5.) y=7 VIII. Find the equation of the line: 1.) with slope -2 and passing through (2,8) 2.) passing through (-4,-7) and (-2,-1) 3.) with slope 3 and passing through (-2,0) 4.) passing through (4,-2) and (4,3) IX. Solve the following systems of equations using the substitution and elimination methods. 1.) - x = y + 4 2.) y - x =5 3.) 2x+y=4 4.) 3x + y = 5 5.) 9x - 2y = 3 xty = 1 2x -2y =10 y = 3x-1 x - 2y = 4 3x - 6 =y X. Solve. 1.) -5y-3m-722 5.) -1053x-55-1 6.) x -23 7.) t- 71 -5=4 8 . ) |2a + 4 1 =130-11 XI. Simplify. Assume all variables under radicals represent positive numbers. Answers should be exact - not approximated by calculator. 1 . ) $/-32 x5 2. ) 3 . ) 23 xty 7 4. ) VOIN a 8 5 . ) 93. 96 6.) - I 7.)