pls help ; ' )

Look at the mapping diagrams below, which represent two different relations. The relation on the left is a function since each value in the blue set is paired with one value in the yellow set. For the function on the left, the domain is {0, 1, 2, 3} and the range is {0, 1.69, 3.38, 5.07}.










1. Is the relation on the right a function? Explain.



2. Can you state the domain and range of a relation that is not a function? If yes, what is the domain and range of the relation on the right?




3. Angelo states that all functions are relations but not all relations are functions. Do you agree with Angelo? Support your answer using an example.









Part 2: The xy-Plane

Use these two graphs to answer questions 4 and 5.






4. Do these graphs represent functions? Explain.




5. Choose one value that is in the domain of both and and that is greater than 0. Substitute that value into and and then simplify. Explain how your answers help to show that the graph on the left represents a function while the graph on the right represents a relation. Show your work and use function notation where possible










The graph represents the equation . Use this graph to answer questions 6, 7, and 8.



6. Look at the graph of the equation . Give its domain and range.




7. Use algebraic means to show that is not a function. Explain your process.







8. Is there any value(s) of the domain of that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.