WorksheetsHPC Midterm Review
Total questions: 26
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
Find the domain of f(x):
a)
(-∞, +∞)
b)
(-∞, 1) U (1, ∞)
c)
(-∞, -1) U (1, ∞)
d)
(1, ∞)
2.
Find the domain of h(x):
a)
(-∞, +∞)
b)
(-∞, -2) U (-2, ∞)
c)
(2, ∞)
d)
[-2, ∞)
3.
Domain?
a)
(-∞, ∞)
b)
(0, ∞)
c)
(-∞, 0)
d)
[0, ∞)
4.
a)
A.
b)
B.
c)
C.
d)
D.
5.
a)
9 - √17
b)
4
c)
2
d)
√8
6.
What is the equation in vertex form?
a)
y = -4(x + 3)2 - 4
b)
y = -4(x - 3) - 4
c)
y = -4(x + 3)2 + 4
d)
y = -4(x - 3)2 - 4
7.
Which function represents the part of the graph in Black?
a)
f(x) = x - 2
b)
f(x) = x - 1
c)
f(x) = x2
d)
f(x) = -3
8.
Where is the function decreasing?
a)
x = ( −∞, −2.55), x = (0, 2.55)
b)
x = (∞, −6.25). x = (36, −6.25)
c)
x = (−∞, ∞)
d)
x = (−∞, 0)
9.
Find the difference quotient when f(t) = (t - 8)2
a)
64t(t + h)
b)
h2 + 2t - 64 / t(t + h)
c)
h + 2t - 16
d)
t2 + th - 64 / t(t + h)
10.
Find the horizontal asymptote.
a)
None
b)
y = 0
c)
y = -1/3
d)
y = -3
11.
What is/are the x-intercepts of this graph?
a)
(-2,0) and (2,0)
b)
(-2,0)
c)
(3,0)
d)
(2,0) and (3,0
12.
Which of these is NOT an asymptote on this graph?
a)
x=-3
b)
x=3
c)
y=2
d)
y=-3
13.
The holes of a rational function occur when :
a)
my pencil pokes a hole in the paper I'm working on
b)
You find the value of x that makes the numerator zero.
c)
You substitute in zero for x.
d)
a factor in the denominator cancels with a factor in the numerator
14.
#6
x4 - 3x2 - 10 > 0
a)
(-∞, -√5) U (√5, ∞)
b)
(-∞, -√5] U [√5, ∞)
c)
( -√5,√5)
d)
(-∞, -2) U (√5, ∞)
15.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2
16.
Which of the following is the value of x given;
e(x+6) = 12
e(x+6) = 12
a)
x = ln 6
b)
x = -6 + ln12
c)
x = ln72
d)
x = ln(-2)
17.
Solve:
a)
(0,4]
b)
(−∞,0) U [4,∞)
c)
(−∞,0)
d)
[4,∞)
18.
Match the graph with its equation
a)
y = log4 (x)+2
b)
y = log4 (x + 2) + 1
c)
y = log4 (x - 1) + 2
d)
y = log4 (-x + 2)
19.
log(10R)
a)
10
b)
1
c)
R
d)
10R
20.
Evaluate the log:
log3(1/9) =
log3(1/9) =
a)
1/2
b)
2
c)
-2
d)
3
21.
Expand
a)
A
b)
B
c)
C
d)
D
22.
what is the amplitude of y=3sin(7x)-2
a)
7
b)
-2
c)
3
d)
6
23.
what is the period of y=cos(3x-π)-5
a)
π/3
b)
π/6
c)
2π/3
d)
2π/6
24.
What range of angles can you get from inverse sine?
a)
0 to π
b)
0 to 2π
c)
-π/2 to π/2
d)
π/2 to 3 π/2
25.
Evaluate: sin-1(cos π/3)
a)
π/6
b)
π/3
c)
1/2
d)
√3/2
26.
What are the solutions to the equation
2x3+x2=8x+4
a)
x=2, x=-2, x=-1/2
b)
x=4, x=-4, x=-1/2
c)
x=2, x=-1, x=-1/2
d)
x=1, x=-2, x=-1/2
100 %
