Q1 .Let X1,X2, ...,X20 be a sample of size 20 from the uniform distribution on the interval (0, ), where is unknown. Let the estimator of be kXmax, where k is
some constant and Xmax is the largest observation. In order kXmax to be an unbiased
estimator, what should be the value of the constant k?

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

so part 1: the y values stay the same, but the x values are opposite signs.

part 2 & 3: the line will be of equal lengths and will be straight.

part 4: you'd see the same characteristic because the x coordinate becomes a negative making them at equal distances from the y axis?