Mathematical Investigations III
Practice Quiz
Name:
The World Upside Down: An Opportunity to Demonstrate Knowledge
NO CALCULATORS!!
1.
2.
a.
2( x  1)(x  2)
(3x  2)( x  5)
Vertical Asymptote(s):
b.
Horizontal/Slant Asymptote(s):
c.
Zeros:
d.
Y-intercept:
e.
Hole _________________________
f.
Sketch the graph of y = f(x) and all
significant features.
f (x ) 
a.
3( x  2)
x2  x  6
Vertical Asymptote(s):
b.
Horizontal/Slant Asymptote(s):
c.
Zeros:
d.
Y-intercept:
e.
Hole ________________________
f.
Sketch the graph of y = f(x) and all
significant features.
Be sure to label all significant features.
g ( x) 
Be sure to label all significant features.
Mathematical Investigations III
3.
Practice Quiz
Write the equations of ALL asymptotes of y 
Show your work and explain your reasoning.
Name:
2x 2  5x  3
x2
4.
Write the equation of a rational function R ( x ) , whose zeroes are 2 and -3, with a
hole at x  1, a vertical asymptote at x  4 and horizontal asymptote at y  5 .
5.
Find the point, if one exists, where the graph of y 
horizontal asymptote.

2( x  1)( x  3)
crosses its
x2
Mathematical Investigations III
Practice Quiz
Name:
6. Write a rational function that could fit the graph shown below.









        



















 
Mathematical Investigations III
Practice Quiz
Name:
6. Graph the reciprocal of the graph of the given function on the same axes:
9
8
7
6
5
4
3
2
1
-9 -8 -7 -6 -5 -4 -3 -2 -1-1
-2
-3
-4
-5
-6
-7
-8
-9
7. Graph the equation y 
3x 2  5 x  6
( x  3)
1
2
3
4
5
6
7
8
9 10