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Duplicate of MHF4UI Advanced Functions Review June 2017 Flashcards | StudBud
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Duplicate of MHF4UI Advanced Functions Review June 2017
Duplicate of MHF4UI Advanced Functions Review June 2017
28 terms
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#Warmup on first review day before final exam...
Flashcards
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Questions
28
Answers
1
Convert to degrees: 3π / 4 .
34°
135°
145º
45°
2
An equivalent trigonometric expression for tan ( - x ) is
- tanx
tan x
cot x
- cot x
3
Determine the approximate degree measure for an angle of 1.32 radians.
2.4o
136.4o
75.6o
4.2o
4
True or False? cos 2θ = 1 - 2 cos
2
θ
False
True
5
Bonus
3
: Sin(gerine) / cos (gerine) =
tangerine
tan(gerine)
6
True or False? cos ( x + y ) = cos x + cos y
Distributive property
False
True
7
Bonus
1
: Everyday you should...
brush your teeth
tell your parents you love them
Exercise
practice graphing trig functions
8
What is the remainder when x
4
+ 2x
2
- 3x + 7 is divided by x + 2?
9
25
37
13
9
Bonus
4
: The Great First Nations Indian Chief and Father of Trigonometry (not really) is:
SOA CAH TAO
SOH COH TAO
SOH CAH TOA
10
Simplify sin ( π - θ ).
cos θ
sin π cos θ + sin θ cos π
sin π - sin θ
sin θ
11
Given functions f(x)=sinx and g(x)=3, find the range of the combined function y = f(x) + g(x)
{y∈R, -1 ≤ y ≤ 1}
{y∈R}
{y∈R, -3 ≤ y ≤ 3}
{y∈R, 2 ≤ y ≤ 4}
12
A polynomial function f(x) is decreasing on an interval a < b if
f(a) < f(b)
f(a) > f(b)
f(a) = f(b)
13
The degree of f(x)=x
2
+x
3
+x
4
is:
9
1
2
4
14
Determine the exact value of csc π.
1
-1
0
undefined
15
Determine the period of the sinusoidal function y = 0.75 cos (π x) - 2017
0.5
2
π
0.75
16
The x-intercept of the function y = -4 log (x+3) is
-4
-2
3
-3
17
What is true about the function f ( x ) = (x - 3)
-1
as x → +∞
f(x) → 0 from above
f(x) → 0 from below
f(x) → - 3
f(x) is undefined finitely
18
The leading coefficient of a quartic function is 3. The constant difference is equal to:
0
18
72
6
19
Expand (3x+2)
2
9x2 + 4
9x2 + 12x + 4
9x2 + 6x + 4
20
Given the functions f(x) = 3x - 2 and g(x) = 5
x
, determine the value of f(g(1))
5
125
13
25
21
Ferris wheel height is h(t)=16sin(0.032t)+18, where t is in seconds. What is the wheel radius?
-2
18
34
16
22
If f(x) and g(x) are both odd functions, then what type of function is y = (fg)(x)?
odd
even
neither
23
Bonus
2
: Given a standard deck of cards, find the probability of drawing a three or a red card?
1/2
15/26
7/13
1/26
24
Which function has opposite end behaviours?
j(x) = 2018
f(x) = x2 + 3x - 1
h(x) = x4 + x3 + 3
g(x) = x3 + x2 + 2
25
Which compound angle expression is equivalent to cosx cosy + sinx siny ?
sin ( x + y )
cos ( x - y )
cos ( x + y )
sin ( x - y )
26
How many cubic functions have zeros - 10, - 5, and 4?
1
2
infinitely many
3
27
Evaluate log
4
16
5
20
10
262 144
64
28
True or False? log (x ± y) = log x ± log y
True
False
