Show ALL WORK and ANSWERS on the exam A wildlife researcher…

Show ALL WORK and ANSWERS on the exam A wildlife researcher records the number of rare owls spotted on several night patrols.For each patrol, she notes the temperature (in °C) at the start of the patrol and the number of owls seen during that patrol. Her data from four different patrols is shown below: On a night when the temperature was –9°C, she saw 4 owls. On a different night when the temperature was –1°C, she saw 2 owls. On a night when the temperature rose to 18°C, she spotted –2 owls (a recording error resulting from subtracting 2 misidentified birds). On another patrol, again at –1°C, she recorded –4 owls due to additional corrections. Using this information: Write the relation as a set of ordered pairs. Identify the domain and range. Determine whether this relation is a function, and justify your answer

Show ALL WORK and ANSWERS on the exam A robotics engineer is…

Show ALL WORK and ANSWERS on the exam A robotics engineer is programming the vertical movement of a mechanical arm.The arm’s “default motion profile” is modeled by the parent function:                                                                                 However, to fit the arm into a custom workspace, the engineer must apply several precise modifications to this motion model: Shift the motion 4.5 units to the left to align with the new starting position on the track. Vertically stretch the graph by a factor of 3.2 so the arm reaches higher positions more quickly. Reflect the motion across the x-axis because the mechanism inverts vertical movement. Shift the entire graph upward by 7.4 units to position the arm above an obstacle. Your Tasks Starting with the parent function, write the final transformed function after applying all four transformations in the order given. Explain (briefly) what each transformation does to the graph of the function in the context of the robotic arm’s motion.