Answer
a.
algebraic
b.
Input Description: a circle centered at the origin with 6 cm radius
Input Units: centimeters
Output Description: a point between -6 and 6 on a circle
Output Units: point
c.
function
d.
x (centimeters)
↓
Rule y
↓
y(x) (point)
Work Step by Step
a. The representation is algebraic because the data is given in an equation.
b. The input is a 6cm circle and the output is a certain point on that circle, because if you input a number for the circle you will get an exact point.
c. The relation is a function because there is only one output for each input.
d. draw an input/output diagram of the data.