Polynomial and Rational Functions

Functions 5 questions, should be short and easy

Samantha Russell
Complete the statements for the behavior indicated by the arrow in graph below. Use the +/- superscripts to indicate
left/right (or below/above). For example to communicate “y approaches 2 from below” we would type “2^-” in the box
corresponding to x +.
3
1
-4 -3 -2
–
-2-
-4-
As →
0^-
y + +5^-
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y =
30
(x – 4)(x – 8)
14T Y
12
continuity:
Select an answer
10
boundedness:
Select an answer y
8
local max?
6
4
local min?
2
horizontal asymptote?
Preview
-14 -12 -10
-8
-6
-4
-2
2
6
8
1)
left vertical asymptote
Preview
MI
-2 4
1
-6
(6, -7.5)
right vertical asymptote
Preview
-8
1)
-10
2
12
continuity:
Select an answer
10
boundedness:
Select an answer
8
6.
local max?
4
local min?
1]
1]
1)
-7/1)
-1]
1/1]
D/1)
/1)
5/1)
1/1]
1/1]
1/1]
/1)
7.8/1)
0/1)
1/1]
1/1]
1/1]
2
horizontal asymptote?
Preview
-14 -12
-10
-8
-6
-4
2
2
6
-2
left vertical asymptote
-4
1
!
Preview
-6
(6, -7.5)
right vertical asymptote
Preview
-8
1/1]
-10
0.8/1)
0/1)
0.9/1)
1/1]
-12
end behavior:
-141
3/27
as x →00, f(x) →
on
as x →-00, f(x) →
Write an equation for a rational function with:
Vertical asymptotes at x = -1 and x = 4
x intercepts at x = -2 and x = -4
Horizontal asymptote at y = 2
y =
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Determine the vertical asymptotes and holes (removable points of discontinuity) of the rational function shown below.
(x + 5)(x + 4)
f(x) =
(x + 5)(x – 10)
Use commas to separate results if there are more than one of each. If there is not a hole or asymptote, record DNE as
your answer.
Holes
2 =
Vertical Asymptotes
2=
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