Explain how to solve each question step by step.

1. Identify all the key features for each of the following graphs. a) ' 157 2. On the diagram below identify each of these key features by filling in the boxes provided: One Cycle Period (State length of it also) Maximum (State value also) Minimum (State value also) Sinusoidal Axis Amplitude (State value also) (Two key features here) 6.28319 -3.1 159 3. How would the graph of this function change if the domain became 0_x58? 10 124. How might you describe the y-values for this section of x values: -1 5 x 5 1. 5. Choose only one type of function to illustrate this: Explain and show how a polynomial or an exponential or a trigonometric graph illustrates the essential characteristics of a function we learned about in unit 1. Each input value corresponds to exactly one output value (every x value corresponds to only one y value) 6.How is the graph of exponential decay similarjg a graph of exponential growth? How are they different? Provide 2 examples of each related to key features. 7. Below is information about a piston in a combustion engine. Piston speeds for different classes of cars: Low speed diesels: 8.5 m/s for marine and electric power Medium speed diesels: 11 m/s for trains or trucks High speed diesels: 14 m/s for automobile engines Medium speed petrol: 16 m/s for automobile engines High speed petrol: 20-25 m/s for sport automobile engines or motorcycles Competition level: Some extreme examples are NASCAR and Formula One engines 20 m/s to 30 m/s Given all the information above, determine what class of engine the graph is modelling. Provide mathematical justification. Movement of a Piston in a Combustion Engine Distance 2 m 1 m -1 m -2 m 8. Do some research and find other applications for the types of functions introduced in this activity. Explain why the applications you researched make sense