Your work is OK except for the domain and range
and are defined only for which means and
Therefore the graph is not a complete line but a "semi-line" starting from the point (0,2)
Please explain how to do the following problem.
Graph the following parametric equation. Identify the domain and range. Eliminate the parameter.
x = sq.root of t
y = 2 – sq.root of t
Thank you very much
I did a table for
t = 0, 1, 4, 9
x = 0, 1, 2, 3
y = 2, 1, 0, -1
Positioned the dots (x,y), it's a line Domain (-infinity, +infinity), Range (-infinity, +infinity). When I eliminated the parameter, the equation is y=2-x
Does it make any sense? Thank you again.
The domain is not , and neither is the range.
is only defined when , which means , so your domain is
Likewise, is only defined when , which means , so the range of the function is .
The equation IS , but we must restrict the domain to because of the parameters we were initially given.