math unit test 24 questions thankms

  

1. Graph the function and identify the domain and range. (1 point)domain: (–∞, ∞)range: [0, ∞)domain: (–∞, ∞)range: (–∞, 0]domain: (–∞, ∞)range: (–∞, 0]domain: (–∞, ∞)range: [0, ∞)2. How is the graph of  different from the graph of ? (1 point)It is shifted 4 units to the left.It is shifted 4 units to the right.It is shifted 4 units up.It is shifted 4 units down.3. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation  where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth. (1 point)4.30 m160.56 m160.23 m13.94 m4. Landon is standing in a hole that is 6.5 m deep. He throws a rock, and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation , where x is the horizontal distance of the rock, in meters, from Landon and y is the height, in meters, of the rock above the ground. How far horizontally from Landon will the rock land? Round your answer to the nearest hundredth of a meter. (1 point)82.03 m6.50 m90.00 m88.53 m5. How many real number solutions does the equation have? (1 point)no solutionsone solutiontwo solutionsinfinitely many solutions6. How many real-number solutions does the equation have? (1 point)two solutionsone solution no solutionsinfinitely many solutions7. Graph the set of points. Which model is most appropriate for the set?  (1 point)8. What type of equation will best fit the data below? (1 point)linearquadraticexponential9. Find the solutions to the system. (1 point)no solutions10. Find the solutions to the system. (1 point)no solutions11. If an object is dropped from a height of 200 feet, the function  gives the height of the object after t seconds. Approximately, when will the object hit the ground? (1 point)200.00 seconds184.00 seconds3.54 seconds0.78 seconds12. A ball is thrown into the air with an upward velocity of 20 feet per second. Its height, h, in feet after t seconds is given by the function . How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary. (1 point)Reaches a maximum height of 8.25 feet after 1.25 seconds.Reaches a maximum height of 8.25 feet after 0.63 seconds.Reaches a maximum height of 0.16 feet after 1.34 seconds.Reaches a maximum height of 0.32 feet after 1.34 seconds.13. A catapult launches a boulder with an upward velocity of 184 feet per second. The height of the boulder, (h), in feet after t seconds is given by the function . How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. (1 point)Reaches a maximum height of 11.6 feet after 5.75 seconds.Reaches a maximum height of 549 feet after 11.5 seconds.Reaches a maximum height of 549 feet after 5.75 seconds.Reaches a maximum height of 23.2 feet after 11.6 seconds.14. Use the graph of f (x) to find the solutions to the equation f (x) = 0. (1 point)two solutions: x = two solutions: x = one solution: x = no solutions15. What are the solutions of the equation ? Use a graph of a related function whose roots answer the question. (1 point)16. Solve the equation using the Zero Product Property. (1 point) and 5  and –5 and 5 and –517. What are the solutions of the equation? (1 point)3, 918. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden. (1 point)15 m3 m12 m m19. What is the value of c so that is a perfect square trinomial? (1 point)3020. Solve the equation by completing the square. Round to the nearest tenth. (1 point)1.1, 9.11.1, , 9.121. Solve the equation by completing the square. (1 point)1.59, 4.4122. Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. (1 point)1, 323. Which kind of function best models the data in the table? Use differences or ratios.xy -3  11.5 -2 7 -1 3.5 0 1 1 -.5 2 -1 (1 point)linearquadraticexponentialnone of the above24. Solve the system of equations algebraically. Show all of your steps.  (2 points)

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