MAT141 Test 1 Review Sections 1.1-1.5 Blitzer1. Find the slope and y-intercept of8 1 0x y+ - =.a. 1 1; 0,8 8m� �=� �� �b. 8;(0,8)m =-c. 1;(0,1)m =d. 1 1; 0,8 8m� �=-� �� �2. Use the table to answer questions a-f.X Y1 Y2-3 9 -3-2 4 -1-1 1 10 0 31 1 52 4 73 9 9a. What is the average rate of change of Y2 from1 22 to 3x x= =?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 from1 20 to 1x x= =?3. Find the equation of a vertical line through the point (6,-2).a. x = 6 b. y = 6c. x = -2d. y = -24. Find the equation of a line through the point (3,2) and perpendicular to the line y = 2x.a. 2 7y x= -b. 172y x= +c. 1 72 2y x=- +d. 1 72 2y x= +FALL 2009 1 MAT141MAT141 Test 1 Review Sections 1.1-1.5 Blitzer5. Is the function3 2( )f x x x= - odd, even, or neither?a. oddb. evenc. neither6. Find the difference quotient ( ) ( )f x h f xh+ - if2( ) 4 2f x x x= + -.a. 2x+ h + 4b. 2x+ h - 2c. 1d. 2 24 4x h x hh+ + +7. If 2 2 , 2( )4 5 , 2x xf xx x+ <-�=�- + �-� what is f (-4)?a. 18b. -8c. -1d. - 68. Which of the following defines y as a function of x?a. 2 24x y+ =b. 24x y+ =c. x = -3d. 2x y=9. Find the equation of a line through the point (4,-5) and parallel to the line y = 2.a. y = 2x-8b. y = 2x-13c. y = -5d. y = 410. Find the equation of a line whose x-intercept occurs at x = -4 and whose y-intercept occurs at y = 5.a.445y x=- +b.554y x=- +c.445y x= +FALL 2009 2 MAT141MAT141 Test 1 Review Sections 1.1-1.5 Blitzerd.554y x= +11. If( ) 2 3f x x= +, what is f(t - 1)?a. 2t - 1b. 2t + 2c. 2t + 1d. 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 = 3b. x = 1c. y = 3d. y = 113. Which of the following gives the equation of the straight line which crosses the y-axis at the point 4,0 and has a slope of6 ?a.46 xyb.46 xyc.64 xyd.64 xy14. 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.23b. 32c 23d. 32FALL 2009 3 MAT141yxMAT141 Test 1 Review Sections 1.1-1.5 Blitzer15. 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 x 2152. (a)– 41595, FHGIKJ (b) 52515, FHGIKJa. (a) Yes (b) Yes b. (a) No (b) Yesc. (a) Yes (b) No d. (a) No (b) No17. Find the slope-intercept form of the equation of the line through the point– , – ,5 8 b gparallel to the line4 8 9x y .FALL 2009 4 MAT141xxyyMAT141 Test 1 Review Sections 1.1-1.5 Blitzera. y x 12112b. y x 2211 c. y x 12211d. y x 1211218. Find the x- and y-intercepts of the graph. xy–10 10–1010a. x-intercepts: – , , , – ,2 7 0 2, 0 0b gb gb g y-intercept: 0 4, b gb. x-intercepts: – , , , ,2 7 0 2, 0 0b gb gb g y-intercept: 0 4, – b gc. x-intercept: 0 4, – b g y-intercepts: – , , , ,2 7 0 2, 0 0b gb gb gd. x-intercept: 0 4, b g y-intercepts: – , , , ,2 7 0 2, 0 0b gb gb g19. 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)FALL 2009 5 MAT141MAT141 Test 1 Review Sections 1.1-1.5 BlitzerKey Review Test 1 1. d 14. c2. a, 2 15. a. both pass the vertical line test b. 2 3y x= + b. for f; ( ) ( ) ( )1, 0 , 0,0 , 3, 0- c. 1, 3- for g; ( ) ( ) ( )2,0 , 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) 0f g> >5. c j. ( ) ( ) ( ) ( )min 2, 4 , max 2,8 : min 1.5,-2 , max 0,4f g- - �6. a 16. b7. d 17. a8. b 18. b9. c 19. c10. d 20. a11. c12. d13. bFALL 2009 6
View Full Document