Section 9.5
Radical Equations
955
Version: Fall 2007
9.5
Exercises
For the rational functions in
Exercises 1

6
, perform each of the following tasks.
i.
Load the function
f
and the line
y
=
k
into your graphing calculator. Ad
just the viewing window so that all
point(s) of intersection of the two graphs
are visible in your viewing window.
ii.
Copy the image in your viewing win
dow onto your homework paper. La
bel and scale each axis with xmin,
xmax, ymin, and ymax.
Label the
graphs with their equations.
Remem
ber to draw all lines with a ruler.
iii. Use the
intersect
utility to deter
mine the coordinates of the point(s)
of intersection. Plot the point of in
tersection on your homework paper
and label it with its coordinates.
iv. Solve the equation
f
(
x
) =
k
alge
braically.
Place your work and so
lution next to your graph.
Do the
solutions agree?
1.
f
(
x
) =
√
x
+ 3
,
k
= 2
2.
f
(
x
) =
√
4
−
x
,
k
= 3
3.
f
(
x
) =
√
7
−
2
x
,
k
= 4
4.
f
(
x
) =
√
3
x
+ 5
,
k
= 5
5.
f
(
x
) =
√
5 +
x
,
k
= 4
6.
f
(
x
) =
√
4
−
x
,
k
= 5
In
Exercises 7

12
, use an algebraic tech
nique to solve the given equation. Check
your solutions.
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