m r [B] mn n> 20r [C] mn n< 8r [D] mn n< 20r

Transcription

1 Solve. 5. x = [D] 7. x + x 9x 8 = 0, ±,, 9 [D] ±,. x+ 9 = x 0 5 5, 7 [D] 7 4. Solve the equation. = b 8 [D] 7 5. Solve: 5 x x =0 6, 4 4, 4 4, 5 [D], Solve: 6+ n < 4 Solve. m r mn n> 0r mn n< 8r [D] mn n< 0r n n> x + 4 <5 RST 9 x < x< 5 5 UVW RST 9 x x or x 5 5 UVW RST 9 x x 5 5 b gb g RST 8. x+ 7 x 0 UVW UVW [D] none of these xx or x 7 x x 7 RST UVW RST x 7 x UVW RST [D] xx 7or x UVW

2 9. Find the standard form of the equation of the specified circle. Center:, ; b g Radius: b g b g = 6 5 bx g b g + + b g b g = 6 5 [D] None of these x x. Evaluate the function and simplif the results. R x if x < 4 fbxg = S 5 4x if x 4 T 4g f 0g bg fb 9. g a. f b. c. f d. a. 69 b. 0 c. d a. b. 5 c. 9 d. + + = 80 a. b. 0 c. d. [D] a. 69 b. 5 c. 9 d Which shows the equation of a line, in slope-intercept form, that passes through the point b6, 4gwith slope? = x 6 = x = x 6 [D] = x. State whether the function has a minimum or a maximum value and find the value. fbg= x 6x 0x minimum: 5. maximum: 7. 5 minimum: 7. 5 [D] maximum: 5.

3 . Use the graph of f x x b g = to identif the graph of fbxg = x. x x [D] x x 4. Given f x b g = + 7 x 4 and gx x b g = 4, find b f + g gb x g. 9x + 0 x 4 bx+ 4gbx 4g, 4, 9 0 x, x 9x 0 x+ 4 x 4 5. Find go f x b gb g,, x 4 4 [D] 5 0 x, x b gb g and bf o ggbxg for fbxg = x+5andgx b g = x+4. b gb g = bgo fgbxg = x+ b f o ggbxg = x+9 b f o ggbxg = x+ + b gb g = +4 [D] bgo fgbxg = x+9 b f o ggbxg = x+ 5 4 b f o ggbxg = x+ + go f x x go f x x

4 6. Find all relative extrema of the function. f x 8x x 4 bg= b b relative maximum:, 6 relative minimum: 0, 0 relative maximum: none relative minimum:, 6 b g g g relative maximum:, 6 relative minimum: none [D] The function has no relative extrema. b g 7. Find all real zeros of the function. 4 fbg= x 4x + 56x x = 0, x =± 64 x = 0, x = 64 x = 0, x = 8 [D] x = 0, x =± 8 [E] None of these Find all the zeros of the function fbg= x x 9x 8x + 9x,,, 5,,,,,, [D],,, fbg= x x 6x + x + 6x 4,, + 5i, 5i 5, 5, + 5i, 5i,, + 5i, 5i [D],, + 5i, 5i 0. Find the vertical and horizontal asmptotes for the rational function. x x fbxg = x x x=, x=, = x=, x=, = x=, x=, = [D] x=, x=, =

5 . Identif the graph of the rational function and find the equation of the slant asmptote. x x fbxg = + x + x x Slant asmptote: = x+ Slant asmptote: = x+ [D] x x Slant asmptote: = x Slant asmptote: = x

6 . Graph: b g = f x x x + x x x [D] x x. Find the inverse of the function. b g = bx g + 4 b g = 4 + f bxg x b g = + 4 f x f x x f x x = 6 [D] None of these

7 4. Identif the graph of the function. f x bg= x x x [D] x x 5. Evaluate the expression without using a calculator. log F 9 HG I K J 6 6 [D] Solve for x. 6. = 4 7 x [D] 4 7. F HG I 4K J x = 64 [D] 8. Solve for x: ln x + 6 = b g [D] 4.46

8 9. The formula A= 000 e rt can be used to find the dollar value of an investment of $000 after t ears when the interest is compounded continuousl at a rate of r percent. a. Find the value of the investment after 5 ears if the interest rate is 7%. b. Find the value of the investment after 6 ears if the interest rate is 5%. a. $0.6 b. $699.7 a. $88.4 b. $699.7 a. $0.6 b. $96.59 [D] a. $88.4 b. $ If a principal of $60 is invested at an annual interest rate of 5% compounded annuall, which is the account balance at the end of 7 ears? $85 $844 $886 [D] $6. If $550 is invested in an account which earns 7% interest compounded annuall, what will be the balance of the account at the end of ears? Use the formula A= Pb + rg t, where A is the account balance, P is the amount originall invested, r is the interest rate as a decimal, and t is the time invested in ears. $744 $55 $6 [D] $5,4. Find the vertex, focus, and directrix of the parabola. x= b+ g 7 0 Vertex: 7,, Vertex: 7 Vertex: 7 [D] Vertex: b g Focus: b, g, Directrix: x = b, g, Focus: b, g, Directrix: x = b, g, Focus: b, g, Directrix: x = b 7, g, Focus: b, g, Directrix: x =. Solve b substitution. 8x+ = x 7= F HG I K J F HG I K J ,, dependent [D] inconsistent 4. Use elimination to solve each sstem of equations. x = 5 x+ 4= 4 b g F HG, I K J 8, infinitel man [D] no solution

9 5. Solve: R x+ z= 4 S 5x z= 50 4x+ + 4z= T b g b8,, 7g ba + 6, a + 7, ag [D] b,, g,, 7 6. Solve the sstem of equations using substitution. x 4 = 96 x 4= 8 b g b g b, 5g, b 46, 5g b, g, b, g [D] b, 7g, b, 5g, 5,, Find all real solutions to the sstem of equations using the addition method. x + = 44 x 4 = 64 ( 8, 4), ( 8, 4), ( 9, 4), ( 9, 4) ( 8, 4), ( 8, 4), ( 8, 4), ( 8, 4) (, 4), (, 4), ( 9, 4), ( 9, 4) [D] no real solution

10 8. Graph the solution set. x+ < x x [D] x x 9. Solve the sstem of linear equations using Gaussian elimination. x 5= 4 R S T x+ 7= 0 F I HG 80, 78 K J F 8 8 I, HG 8 8 K J F HG I K J, [D] F HG 8, I K J 40. Evaluate the expression. A+ B A = 8 4 0, B = [D]

11 4. Find the product, if possible. BA, if A = , B = [D] Find the inverse of the matrix A, if it exists. 5 A = M P 6 8 N Q [D] Does not exist 4. If possible, solve the sstem of equations using an inverse matrix. R + = S T x 4 0 5x 8 = 7 F H7, 7 I K F H 7 7 I 7, K, 7 b g [D] No solution 44. Find the determinant of the matrix [D] Use Cramer s Rule to solve (if possible) the sstem of equations. x+ 5= R S T x = 7 6 F H, 65 I K F 44 5 H I, K F 5 44 H I 65, K [D] F H, 6 I K

12 46. Find the minor M of the matrix A. A = [D] Solve b factoring. x + x 7 = 0 8, 4 6,, 7 [D] 8, Solve b taking the square root. x = ± ± 6 ± 6 [D] ± Solve using the quadratic formula. 5x x 5 = , + 6 6, , [D] + 6 6, Find the vertex of the graph of the function. b g = bx+ g + b g b, g b, g [D] b, g f x,

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