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Worksheets

AA Review

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.
Find the discriminant of the following function:
F(x)=2x2-5x+3
a)
1
b)
-49
c)
7
d)
-7
2.
How many real solutions does the following function have?
f(x)=x2-6x-2
a)
Two
b)
One
c)
None
d)
Three
3.
Simplify the following:
√-52
a)
5√2
b)
2√5
c)
5i√2
d)
25i√2
4.
Find the roots:
f(x)=2x2-6x+5
a)
x = 2.5, .5
b)
x = 2, 1
c)
x = (3+i)/2, (3-i)/2
d)
x = 3+i, 3-i
5.
Divide f(x)=x3-4x2+2x-5 by x-2 using synthetic division
a)
x3-2x2-2x+1
b)
x2-2x-2 R.-9
c)
x2-6x+14 R. -23
d)
x3-6x2+14x-23
6.
f(x)= -x2+3
g(x)= 2x2-4
f(g(-1))= ?
a)
39
b)
-6
c)
-1
d)
-33
7.
Which is NOT a correct extrema in this graph
a)
Rel Min: (6, 10)
b)
Abs Min: (1, -10)
c)
Abs Max: (4, 40)
d)
They are all correct
8.
f(x)= (x-7)2
f-1(x)= ?
a)
±√(x+7)
b)
±√(y+7)
c)
x-7
d)
±√(x)+7
9.
Is this graph continuous? If not, where is the discontinuity? 
a)
This graph is continuous 
b)
x = 0
c)
y = 0
d)
x = 5
10.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
11.
For synthetic division, what would be the remainder here?
a)
0
b)
1
c)
2
d)
3
12.
Where is the graph discontinuous?
a)
x=4
b)
x=3
c)
x=2
d)
Continuous
13.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
14.
(4x2 - 24x + 35) ÷ (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
15.
When f(x) = 4x+8 and
g(x) = x+3, find
f(x) * g(x). 
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24