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= +Spring 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= +Spring 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.23b. 32c 23d. 32Spring 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 .Spring 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)Spring 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. bSpring 2009 6