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WorksheetsMixed Review Unit 1 - 3
Total questions: 70
Worksheet time: 3hrs 5mins
Name
Class
Date
1.
Are these inverse functions?
a)
yes
b)
no
c)
no way to tell
2.
are these inverse functions?
a)
yes
b)
no
c)
no way to tell
3.
is the inverse function found correctly?
a)
yes
b)
no
4.
Which is the inverse for the function
a)
a.
b)
b.
c)
c.
d)
d.
5.
Find the inverse of the function
f(x) = ex-4
f(x) = ex-4
a)
f-1(x)=ln(x) + 4
b)
f-1(x)=ln(e) + 4
c)
f-1(x)=ln(x) − 4
d)
f-1(x)=log(x) + 4
6.
Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
7.
Identify the transformations.
a)
horizontal shift to the left 2 and vertical stretch by a factor of 3
b)
horizontal shift to the right 2 and vertical stretch by a factor of 3
c)
horizontal shift to the right 2 and vertical shrink by a factor of 3
d)
horizontal shift to the left 2 and vertical shrink by a factor of 3
8.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
9.
The blue is f(x)=|x|, red must be ____?
a)
g(x) =|x+2|
b)
g(x) =|x|+2
c)
g(x) =|x-2|
d)
g(x) =|x|-2
10.
a)
Rational
b)
Square Root
c)
Exponential
d)
Cubic
11.
What is the Degree of this polynomial:
f(x)= x3(x + 3)2(x – 5)
f(x)= x3(x + 3)2(x – 5)
a)
Degree: 6
b)
Degree: 5
c)
Degree: 3
d)
Degree: 2
12.
Find the slope of the line.
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
13.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
14.
a)
Function
b)
Not a Function
15.
Is this table a function or not a function?
a)
Function
b)
Not a Function
16.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
17.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
18.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
19.
Solve:
6(5x - 3) + 2 = 14
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
20.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
21.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
22.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
23.
a)
5-8
b)
52
c)
25-8
d)
252
24.
a)
2560
b)
2517
c)
560
d)
517
25.
a)
3-5 = 1/35
b)
35
c)
342
d)
1/9
26.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
27.
What direction is an undefined slope?
a)
horizontal
b)
vertical
28.
Are these inverse functions?
a)
no
b)
yes
c)
no way to tell
29.
What is the equation that the inverse will reflect across?
a)
y = x
b)
y = 0
c)
x = 0
d)
Potato
30.
Are these functions inverses?
a)
Yes
b)
No
31.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
32.
Which function is displayed?
a)
Logarithmic
b)
Square Root
c)
Exponential
d)
Rational
33.
What is the inverse of sqrt(x-4)+1?
a)
(x-1)2+4
b)
(x-1)2+4 domain restricted to x>= 1
c)
(x+1)2+4 domain restricted to x>= 0
d)
(x+1)2+4 domain restricted to x>= -1
34.
Which of the following have inverses?
a)
All
b)
44, 63
c)
44, 63, 65, 68
d)
48, 65, 68
35.
If the blue function is f(x)=√x, the red function must be
a)
g(x)=√(-x)
b)
g(x)=√(x-1)
c)
g(x)=√x-1
d)
g(x)=-√x
36.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
37.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) =√(x+5)
d)
f-1(x) = x2 - 5
38.
Was the inverse function found correctly?
a)
no,
b)
yes
39.
Find the inverse of the function
f(x) = 3x − 5
f(x) = 3x − 5
a)
f-1(x)=3x +5
b)
f-1(x)=(x+5)/3
c)
f-1(x)=3y-5
d)
f-1(x)=3y+5
40.
If f-1(-25) = 7 then what is f(7) =
a)
25
b)
7
c)
No enough information.
d)
-25
41.
Find the inverse: f(x) = 3x + 2
a)
f-1(x) = 2x + 3
b)
f-1(x) = -3x + 2
c)
f-1(x) = (x-2)/3
d)
f-1(x) = (x-3)/2
42.
Graph the inverse
a)
b)
c)
d)
43.
What is the inverse of the function
f(x) = 2x + 4 ?
f(x) = 2x + 4 ?
a)
f-1(x) = 4(x -2)
b)
f-1(x) = (x-4)/2
c)
f-1(x) = x/2 - 4
d)
f-1(x) = x/4 + 2
44.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
45.
Are the following inverses of each other?
a)
True
b)
False
46.
Is this exponential growth or decay?
a)
Growth
b)
Decay
47.
What is the equation that represents the exponential function in the image below?
a)
y=3(½)x
b)
y=3(2)x
c)
y=(2)x
d)
y=2(3)x
48.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
49.
Write log2 0.25 = -2 in exponential form
a)
-22 = 0.25
b)
-20.25 = 2
c)
2-2 = 0.25
d)
No correct answer
50.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
51.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
52.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
53.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
54.
Evaluate:
log416
log416
a)
2
b)
4
c)
1/2
d)
-2
55.
log525 = ?
a)
2
b)
5
c)
25
d)
125
56.
Find the value for x to the third decimal place: 10x =20
a)
2
b)
1.301
c)
0.5
d)
No Correct Answer
57.
log41 =
a)
0
b)
1
c)
4
d)
DNE
58.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
59.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
60.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
61.
Which has a horizontal asymptote?
a)
Exponential
b)
Logarithmic
c)
Both
62.
Which has a vertical asymptote?
a)
Exponential
b)
Logarithmic
c)
Both
63.
Where would the asymptote be for this graph?
a)
y = 4
b)
y = -4
c)
x = 3
d)
x = -3
64.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
65.
Find the sum.
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
66.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
67.
Combine like terms to simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
68.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
69.
(3x2+xy-5y2) +
(2x2-xy+3y2)
(2x2-xy+3y2)
a)
5x2-2xy+8y2
b)
5x2-2y2
c)
5x2+2y2
d)
5x2+2xy-8y2
70.
(5x - y) + (2x + 6y)
a)
7x + 7y
b)
7x + 5y
c)
7x + 6y
d)
3x - 5y
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