Question

Give examples of three functions and three relations, using at least three different
representations (e.g., symbolic representations, graphical representations, diagrams,
tables of values, lists of ordered pairs). Use the definitions for function and relations to
justify why each of your example is a function or relation.

Answer 1

y = 3 x
y = x^2
y = sin x

then relations that are not functions

y^2 = x or y = x^(1/2)
two values of y for every x

y = sin^-1 (x)
for every x there is an infinite number of y values
like if x = 1/2
y = 30 deg, y = 150 degrees etc

x y
1 -1
0 0
1 1