R S T R S T R S T S T. A2C April Worksheet SKIP. 23. Identify the vertex and the axis of symmetry of the parabola. y

Transcription

1 AC April Worksheet 1-1. SKIP 14. Compare the raphs of the pair of functions. Descrie how the raph of the second function relates to the raph of the first function., 15. For the function, identif the parent function, the value of h, and the raph of the function translatin the parent function Graph on coordinate plane: Identif the raph of the inequalit on a coordinate plane. 17. Graph: 18. Solve the sstem. 4 4 S T 19. Solve the sstem S T Graph the sstem of inequalities. 5 S T 7 1. Skip. Solve the sstem. z S T z 4 z 5. Identif the verte and the ais of smmetr of the paraola. 4. A ioloist took a count of the the numer of miratin waterfowl at a particular lake, and recounted the lake s population of waterfowl on each of the net si weeks. a. Find a quadratic function that models the data shown as a function of, the numer of weeks.. Use the model to estimate the numer of waterfowl at the lake on week 8. Week Population Graph the quadratic function. Lael the verte and ais of smmetr Macro Manufacturin estimates that its weekl profit, P, in hundreds of dollars, can e approimated the formula P 5, where is the numer of units produced per week, in thousands. a. How man units should the compan produce per week to earn the maimum profit?. Find the maimum weekl profit.

2 AC April Worksheet 7. Write the equation of the paraola in verte form Divide usin lon division. Check our answer. 6 c h 8. Find onl the rational roots Evaluate the epression C Solve factorin = 0 9. Factor the epression. 0. ewrite the equation in verte form. Then find the verte Write the numer in the form a i. 4. Solve the equation usin the Quadratic Formula Skip 4. Without raphin, tell how man -intercepts the function has. 5. The tale shows the numer of hrid cottonwood trees planted in tree farms in Oreon since Find a cuic function to model the data and use it to estimate the numer of cottonwoods planted in Years since Trees planted (in thousands) Factor the epression. p !!! 41. Four cards are drawn in succession and without replacement from a standard deck of 5 cards. How man sets of four cards are possile? 4. Find the real-numer root Simplif the radical epression. Use asolute value smols when needed Multipl and simplif. Assume that all variales are positive. 11u 4u 45. Multipl. Simplif if possile Multipl. Assume that all the variales are positive. d4 zid4 zi 47. Simplif Write the epression in eponential form Find the inverse of the function. Is the inverse a function? f

3 AC April Worksheet 50. For the function f, find f and the domain and rane of f and f. Determine whether f is a function. f Find the equation of the raph Let f f and 7. Find 1 and. 5. Let f f. Find 5. Solve. Check for etraneous solutions Which function matches the raph? 55. Graph. Find the domain and rane of the function Graph the function. Identif the horizontal asmptote. F H G 1 I K J f Write an eponential function to model the situation. Then predict the value of the function after 5 ears (to the nearest whole numer). A population of 90 animals that decreases at an annual rate of 15%. 59. Identif the raph of the equation. f 60. Write the equation in loarithmic form The half-life of caron-14 is 5700 ears. Write the eponential deca model for a 0-m sample. To the nearest hundredth, find the amount of caron-14 remainin after 91 ears. 6. Graph the function. Lael the asmptote of the raph. F H G 1 I K J 6. Write an eponential function to model the situation. Then predict the value of the function after 5 ears (to the nearest whole numer). A population of 450 animals that decreases at an annual rate of 1%. 64. Identif the raph of the loarithmic function. f lo Evaluate the loarithm. lo Write the loarithmic epression as a sinle loarithm. 4 lo 6 lo 67. Use the properties of loarithms to evaluate the epression.

4 AC April Worksheet lo Solve the equation. Check our answer Solve raphin Solve: lo lo lo 7. Solve: Simplif the comple fraction Simplif the rational epression. State an restrictions on the variale. 76. Add or sutract. Simplif where possile. s 4 s Multipl. State an restrictions on the variales

5 AC April Worksheet 1-1. SKIP 14. [A] The second function is the raph of moved down units. 15. [C] ; h [A] 17. [B] 18. [A] 4, 19. [A] 4, 1 0. [B] 1. Skip. [B] 5, 4,. [A] verte:, 5 ais of smmetr: 4. [A] P 550 ; 4 5. [A] verte :, 6. [A] a. 00 units. $ [C] 8. [B] 5, 9. [A] 5 0. [B] 6 0; 6, 0 1. [C] i. [B] 1 i Skip 4. [A] 1 5. [C] T ; thousand 6. [B] p p c p h 7. [A] 4 8. [A] 6, 4 9. [A] [B] [B] 70,75 4. [A] [B] [A] u 44u 45. [C] [B] 16 4z 47. [D] [B] [B] f, no

6 AC April Worksheet 50. [B] f, domain of f : all real numers, rane of f : f 0, domain of f : 0, rane of f : all real numers, not a function 64. [B] 51. [B] [B] [B] 55. [D] domain: 5, rane: [D] asmptote: [C] f 58. [D] [B] ; [D] [A] lo 67. [D] [A] 69. [D] [D] [A] [C] 7 7. [D] [B] [A] ; 0, 1 1 s [D] s 4 s [C] 4 ; 7, 9, lo =5 61. skip 6. asmptote: =0 6. [B] f ; 4