Question: Sketch a graph of the function based on the key features or description given below. Provide two different sketches that satisfy the conditions described. If

  1. Sketch a graph of the function based on the key features or description given below.
  • Provide two different sketches that satisfy the conditions described.
  • If possible, reflect on each piece of information given, to help you visualize the graph before you start to sketch it.
  1. Three cycles of a trigonometric function with period of 10 and amplitude of 3. The domain of the function is -10x20,xR. State the following key features for the function: range, intercepts, maximum/minimum values, sinusoidal axis of symmetry.
  2. An exponential function with range y<1,yR and a y-intercept of 0. State the following key features for the function: domain, horizontal asymptote, x-intercept.
  3. A polynomial function with x-intercepts at -1 and 2. The end behaviour is x, y andx-, y. State the following key features for the function: domain, range, y-intercept, maximum & minimum values.
  4. Sketch a graph based on the description given below. State the type of function and any key features related to the graph.

  1. ThePanono ball camerais thrown up in the air by a person who released it at a height of 1.7m. The ball's sensor took pictures at its maximum height of 33m. Unfortunately, it was not caught, but hit the ground 4.8 seconds after the time it was released. (Don't worry, the pictures it took will be fine!) Sketch a graph that would model the ball's height versus time.

  1. Santa Monica's famous Ferris wheelhas a diameter of about 24m and rotates at a rate of 1 revolution every 32 seconds. The ride lasts for 192 seconds. The total height of the structure is 27m, as the wheel is 3m off the ground.
  2. Sketch a graph that would model your height above the ground in relation to time of the ride. Assume you board the wheel at its lowest point.
  3. If your friends had boarded before you, indicate on the graph where they might be at the start of the ride?
  4. What if the Ferris wheel spun backward. How might that change your graph?

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