MAT141 Test 1 Review Sections 1.1-1.5 Blitzer FALL 2009 1 MAT141 1. Find the slope and y-intercept of8 1 0xy. a. 11; 0,88m b. 8;(0,8)m c. 1;(0,1)m d. 11; 0,88m 2. Use the table to answer questions a-f. X Y1 Y2 -3 9 -3 -2 4 -1 -1 1 1 0 0 3 1 1 5 2 4 7 3 9 9 a. What is the average rate of change of Y2 from122 to 3xx? b. What equation corresponds to the data for Y2? c. For what value(s) of x is Y1=Y2? d. Does the graph of Y2 pass through the origin? e. At what point(s) do Y1 and Y2 intersect? f. What is the average rate of change of Y1 from120 to 1xx? 3. Find the equation of a vertical line through the point (6,-2). a. x = 6 b. y = 6 c. x = -2 d. y = -2 4. Find the equation of a line through the point (3,2) and perpendicular to the line y = 2x. a. 27yx b. 172yx c. 1722yx d. 1722yxMAT141 Test 1 Review Sections 1.1-1.5 Blitzer FALL 2009 2 MAT141 5. Is the function32()f x x x odd, even, or neither? a. odd b. even c. neither 6. Find the difference quotient ( ) ( )f x h f xh if2( ) 4 2f x x x. a. 2x+ h + 4 b. 2x+ h - 2 c. 1 d. 2244x h x hh 7. If 2 2 , 2()4 5 , 2xxfxxx what is f (-4)? a. 18 b. -8 c. -1 d. - 6 8. Which of the following defines y as a function of x? a. 224xy b. 24xy c. x = -3 d. 2xy 9. Find the equation of a line through the point (4,-5) and parallel to the line y = 2. a. y = 2x-8 b. y = 2x-13 c. y = -5 d. y = 4 10. Find the equation of a line whose x-intercept occurs at x = -4 and whose y-intercept occurs at y = 5. a. 445yx b. 554yx c. 445yx d. 554yxMAT141 Test 1 Review Sections 1.1-1.5 Blitzer FALL 2009 3 MAT141 11. If( ) 2 3f x x, what is f(t - 1)? a. 2t - 1 b. 2t + 2 c. 2t + 1 d. 2t + 4 12. Find the equation of a line that passes through the point (3,1) and is perpendicular to the line x = 5. a. x = 3 b. x = 1 c. y = 3 d. y = 1 13. Which of the following gives the equation of the straight line which crosses the y-axis at the point (0, 4) and has a slope of6 ? a. 46xy b. 46xy c. 64xy d. 64xy 14. What is the slope of the straight line graphed on the coordinate plane below? You may assume that each tick mark represents one unit. a. 23 b. 32 c 23 d. 32 y xMAT141 Test 1 Review Sections 1.1-1.5 Blitzer FALL 2009 4 MAT141 15. Answer questions a-j for each of the graphs shown below. You may assume that each tick mark represents one unit. ()y f x ()y g x a. Explain why both graphs represent functions. b. Find the x- and y-intercepts for both graphs. c. What is the range of g(x)? d. On what interval(s) is g(x) decreasing? e. On what interval(s) is f(x) increasing? f. Where is f(x)<0? g. Where is g(x)>0? h. Is g(x) odd, even, or neither? What about f(x)? i. Is f(2) positive or negative? Is g(4) positive or negative? j. Find the relative max and/or min of both functions. 16. Determine whether each point lies on the graph of the equationy x2152. (a)– 41595, FHGIKJ (b) 52515, FHGIKJ a. (a) Yes (b) Yes b. (a) No (b) Yes c. (a) Yes (b) No d. (a) No (b) No 17. Find the slope-intercept form of the equation of the line through the point( 5, 8)parallel to the line4 8 9x y. a. y x12112 b. y x2211 c. y x12211 d. y x12112 x x y yMAT141 Test 1 Review Sections 1.1-1.5 Blitzer FALL 2009 5 MAT141 18. Find the x- and y-intercepts of the graph. xy–10 10–1010 a. x-intercepts: – , , , – ,2 7 0 2, 0 0bgbgbg y-intercept: 0 4, bg b. x-intercepts: – , , , ,2 7 0 2, 0 0bgbgbg y-intercept: 0 4, – bg c. x-intercept: 0 4, – bg y-intercepts: – , , , ,2 7 0 2, 0 0bgbgbg d. x-intercept: 0 4, bg y-intercepts: – , , , ,2 7 0 2, 0 0bgbgbg 19. Which of the following is an even function? a. 2( ) 2 5 1f x x x b. ( ) 3 1f x x c. 2( ) 3f x x d. ( ) 2 3f x x 20. If one point on a line is (2, 6) and the line’s slope is32, what is the x-intercept of the line? a.. ( 2,0) b. (12,0) c. (7,0) d. (11,0)MAT141 Test 1 Review Sections 1.1-1.5 Blitzer FALL 2009 6 MAT141 Key Review Test 1 1. d 14. c 2. a. 2 15. a. both pass the vertical line test b. 23yx b. for f; ( 2,0),(0,0),(3,0) c. 1,3 for g; ( ,0),( 1,0),(0,4) d. no c. 2, e. 1,3 d. ( ,1.5), (0,1.5) f. 1 e. 1,2 3. a f. ( 2.0), (3, ) g. , 2 , 1,1 , 2, 4. c h. f is neither and g is even i. (2) 0 and (4) 0fg 5. c j. min ( 1, 4), max (2,8): min ( 1.5,2), max (0,4)fg 6. a 16. b 7. d 17. a 8. b 18. b 9. c 19. c 10. d 20. a 11. c 12. d 13.