Math 1330 Test 2 Review 1Math 1330 Test 2 Review (also do the practice test) Chapters 1, 2 & 8 10 multiple choice problems (6 points each) 4 Free Response (workouts, 10 points each) 1. Find the domain of: A. 2273()43xxfxxx B. 5()3xgxx 2. Find the y-intercept of )32( xf if 1)(2 xxf .Math 1330 Test 2 Review 23. Given the following functions find fg . A. 2()fxxxand ( ) 4gx x fg = B. 3()13xfxxand 12)( xxg fg = 4. Let 1() 1fxx. Find the difference quotient, hxfhxf )()( for x = 1.Math 1330 Test 2 Review 35. Let 2()1xfxx. Find the difference quotient, hxfhxf )()(.Math 1330 Test 2 Review 46. Give the equation that represents each graph. A. B. Recall: Even Degree Poly Odd Degree Poly Positive Negative Positive Negative Leading Coefficient Leading Coefficient Description of the Behavior at Each x-intercept 1. Even Multiplicity: The graph touches the x-axis, but does not cross it (looks like a parabola there). 2. Odd Multiplicity of 1: The graph crosses the x-axis (looks like a line there). 3. Odd Multiplicity greater than or equal to 3: The graph crosses the x-axis and it looks like a cubic there.Math 1330 Test 2 Review 57. Let 32)2()1(2)(  xxxf . A. State the end behavior. Is the degree even or odd? Is the leading coefficient positive or negative? End behavior is: B. Find the zeros (x-intercepts) C. Find the y-intercept. 232( 1) ( 2) 0xx  D. Sketch its graph.Math 1330 Test 2 Review 68. Sketch the graph of() 3 2fx x. A. State the translations. B. Sketch the graph, making sure to label a few key points. C. Find the range. D. Is the function 1-1? 9. Find the inverse of: A. () 2 7gx x B 73)(2 xxf , for 0xMath 1330 Test 2 Review 7C. 3246)(xxxh 10. Find a the equation of a linear function f with y-intercept -5 and 142f.Math 1330 Test 2 Review 811. Assume the domains of f and 1f are ( - , 7/4 ) ( 7/4 , ). Solve for x given that 874471xxf and f(8) = 21. 12. Given 322123)(22xxxxf . Find: A. any vertical asymptotes. B. any holes. C. horizontal asymptotes, if there is one. degree(N) degree(D)Math 1330 Test 2 Review 913. The given function has a horizontal asymptote. If the graph crosses the asymptote, find the x-coordinate of the point. A. 24)(xxxf B. 2235()232xxgxxxMath 1330 Test 2 Review 1014. Complete the square to write the equation in the standard form f (x) = a (x - h)2 + k. 21() 2 93fxxx state the vertex Recall: Parabola: )(42hxpky  or )(42kyphx  . Circle: 222rkyhx  Ellipse: 22()()1xh yknumber number Hyperbola: 2222()()1xh ykab or 2222()()1yk xhab 15. Graph xy 162 . State the following features and sketch the graph. A. Orientation B. Vertex C. p D. Focus E. Directrix F. Focal width G. Endpoints of the focal chordMath 1330 Test 2 Review 1116. Graph yx 202 . State the following features and sketch the graph. A. Orientation B. Vertex C. p D. Focus E. Directrix F. Focal width G. Endpoints of the focal chord 17. Let 22835 14 0xx y y . Write the circle in standard form then find the center and radius.Math 1330 Test 2 Review 1218. Write the ellipse 01002510090922 yyxx in standard form. State the following features and sketch the graph. A. Orientation B. Center C. Vertices D. Length of the Major Axes E. Length of the Minor Axes F. Coordinates of the Major Axes G. Coordinates of the Minor Axes H. Foci 222cabMath 1330 Test 2 Review 1319. Given the hyperbola 01921644832422 yyxx . State the features listed below and sketch the graph. A. Orientation B. Center C. Vertices D. Equations of the asymptotes E. Length of the Transverse Axes F. Length of the Conjugate Axes G. Coordinates of the Transverse Axes H. Coordinates of the Conjugate Axes I. Foci 222cabMath 1330 Test 2 Review 1420. Find the asymptotes of: A. 191622xy B. 22(1)(2) 14yx 21. Find the point(s) of intersection of 569452222yxyx.Math 1330 Test 2 Review 1522. Find the number of points of intersection of by sketching the graphs. A. 2244xyyx B.