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NSF Summer Bridge Review Final July 2024 Flashcards | StudBud
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NSF Summer Bridge Review Final July 2024
NSF Summer Bridge Review Final July 2024
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Answers
1
composite functions are when...
use more than one function to solve a problem
when one function is placed inside of another function
you graph two functions on top of each other
2
Determine domain and range of radical function
Domain X ≤ 2. Range Y ≤ -1
domain X ≥ 2. Range Y≥ -1
Domain X > 2. Range Y > -1
3
Domain of Functions Big Rules
1. Denominator ≠ 0 2. Radical ≥ 0
1. Denominator ≠ 0 2. Radical ≤ 0
1. Denominator = 0 2. Radical ≥ 0
1. Denominator ≥ 0 2. Radical ≠ 0
4
What is the range of the function?
Cannot be determined
[-7, 3]
(-∞, ∞)
[3, -∞)
5
Is the factor theorem x+3 a factor of -x
3
-4x
2
-8
p(-3) = -17. It is a factor
p(-3) = 0. It is a factor
p(-3) = -15. not a factor
p(-3) = -17. not a factor
6
what is the degrees of a right angle?
20
180
90
240
7
What is domain of functions?
Is a set of equations
Is a set of all x values
Is a set of variables
Is a set of all y values
8
Which Graphs represent functions? Click all that apply.
B and C
A
A and C
A and B
9
Identify the leading coefficient.
1
2
6
-8
10
What is the domain of the function?
[3, -∞)
[-1, 5]
(-∞, ∞)
[0, ∞)
11
How many roots would this quadratic have?
2
0
1
12
What is the parent function?
x3
x
-x3
√x
13
Convert degrees to radians. 380°
19π/3
25π/2
6π
19π/9
14
What are the translations of the function?
x2 + 1
x2
None
2x
15
The following polynomial has a degree of 5.
True
False
16
What are the translations?
left 2, 4 up
right 2, 4 down
left 2, 4 down
right 2, 4 up
17
For the given functions f and g, find the requested composite function.
28x+35
28x+8
28x+2
28x+16
18
Solve the quadratic equation:
x = 3 & x = -5
x = -3 & x = -5
x = -3 & x = 5
x = 3 & x = 5
19
Which one is a trigonometry function?
CAS
TON
SEC
SIP
20
Find the remainder using the remainder theorem.
0
4
9
-7
21
Recognising Graphs
C
D
B
A
22
Trigonometry
5/12
13/5
5/13
12/13
23
Graphing Translations y=3(x-2)
2
+4. Parent function: f(x)=x
2
Down 4 right -2
Up 3, right 1
Down 3 left 1
up 4, right +2
24
Does this quadratic have a MIN or MAX?
MAX
MIN
25
Multiplying Complex Numbers
B
D
C
A
26
Which one is not a trigonometry function?
SOC
SIN
TAN
CSC
27
What are the x-intercepts of the Polynomial Function?
-2 and 3
3 and 0
-3 and 2
pizza
28
f(x)=1/2(x+7) what translations are being applied to the parent function?
shifts left 7 units and is being reflected
shift left 7 units and is being compressed
shifts right 7 units and is being compressed
shifts up 7 units and is being reflected
29
Is the relation a function?
Yes, the y's repeat
Yes, it passes the Vertical Line Test
No, it fails the Vertical Line Test
No, the x's repeat
30
Covert from radians to degrees. −π/6
45°
-30°
-90°
60°
31
Subtracting Complex Numbers
B
A
C
D
32
What two operations are used in synthetic division?
only division, duh
subtraction and addition
division and subtraction
multiplication and addition
33
What is the range?
(2,∞)
(-7,∞)
(-∞,∞)
(3,∞)
34
What are the zeroes of the following function?
-2, 0, 5
-8, 3, 6
-3, 15, 3, 6
-3, 0, 6, 15
35
Trigonometry
37.7o
0.774o
50.7o
39.3o
36
Simplify.
A
C
B
D
37
What is the complex number i?
\sqrt{-1}
-\sqrt{1}
3.14
\sqrt{1}
38
What type of function is shown?
Quadratic
None of the above
Exponential
Linear
39
Name the polynomial and its degree.
Trinomial; Degree of 6
Trinomial; Degree of 9
Monomial; Degree of 5
Trinomial; Degree of 8
40
Calculate the remainder using remainder theorem
-23
35
23
-35
41
The remainder theorem states:
When P(x) is divided by (x+a), Remainder=P(-a)
The remainder of P(x) is the degree of the polynomial
When we divide two polynomials, the remainder is a goat.
When P(x) is divided by (x+a), Remainder=P(a)
42
Find the leading coefficient of -8x
2
+9x
4
+5x
12
+15x-18x
7
12
-8
-18
5
43
What is the Domain?
{-1, 1, 2, 4}
{-1, 1, 2}
{0, 1, 2, 4}
{-1, 1, 4}
44
Calculate the remainder using remainder theorem
-23
-35
35
23
45
What type of functions have a domain of (-∞, ∞)?
Absolute Value, Square Root, Exponential, Piece Wise
Exponential, Linear, Square Root
Linear, Absolute Value, Quadratic (parabola), Exponential
Square root, Quadratic (parabola), Linear
46
What are the zeroes?
(0, 0), (-2, 0), (9, 0)
(2, 0), (-9, 0)
(0, 0), (2, 0), (-9, 0)
(-2, 0), (9, 0)
47
What is the domain of this function?
-∞ < x < ∞
x ≥ 2
x ≤ 2
-∞ < y < ∞
48
How to convert radians to degrees?
Subtract by 180
Multiply by 180
Divide by 180
Add by 180
49
Is this relation a function?
Yes
No
50
Identify the degree of the polynomial.
1
4
2
3
51
Solve using synthetic division. (2x
3
-2x
2
-13x+3)÷(x-3)
2x2+4x
x2+4x+3
2x2+4x-1
6x2-4x+3
52
What is the parent function?
-x3
x
x3
√x
53
What is the Domain?
All Reals
x < 0
No Solution
x > 0
54
Complex Numbers
B
C
D
A