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Duplicate of MHF4UI Advanced Functions Review Jan 2016 Flashcards | StudBud
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Duplicate of MHF4UI Advanced Functions Review Jan 2016
Duplicate of MHF4UI Advanced Functions Review Jan 2016
28 terms
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Warmup on last review period before final exam...
Flashcards
28 cards
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Practice quiz
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Questions
28
Answers
1
Which function has opposite end behaviours?
f(x) = x2 + 3x - 1
j(x) = 2016
g(x) = x3 + x2 + 2
h(x) = x4 + x3 + 3
2
The leading coefficient of a quartic function is 3. The constant difference is equal to:
18
6
72
0
3
Bonus
4
: The Great First Nations Indian Chief and Father of Trigonometry (not really) is:
SOH CAH TOA
SOA CAH TAO
SOH COH TAO
4
Expand (3x+2)
2
9x2 + 6x + 4
9x2 + 12x + 4
9x2 + 4
5
How many cubic functions have zeros - 10, - 5, and 4?
1
2
infinitely many
3
6
Bonus
1
: Everyday you should...
practice graphing trig functions
tell your parents you love them
brush your teeth
Exercise
7
Given the functions f(x) = 3x - 2 and g(x) = 5
x
, determine the value of f(g(1))
13
25
125
5
8
Determine the exact value of csc π.
-1
undefined
0
1
9
Which compound angle expression is equivalent to cosx cosy + sinx siny ?
cos ( x + y )
cos ( x - y )
sin ( x - y )
sin ( x + y )
10
Determine the period of the sinusoidal function y = 0.75 cos (π x) - 2016
π
0.75
2
0.5
11
Determine the approximate degree measure for an angle of 1.32 radians.
4.2o
136.4o
2.4o
75.6o
12
Simplify sin ( π - θ ).
cos θ
sin π cos θ + sin θ cos π
sin π - sin θ
sin θ
13
What is true about the function f ( x ) = (x - 3)
-1
as x → +∞
f(x) is undefined finitely
f(x) → 0 from above
f(x) → - 3
f(x) → 0 from below
14
The degree of f(x)=x
2
+x
3
+x
4
is:
1
2
4
9
15
Given functions f(x)=sinx and g(x)=3, find the range of the combined function y = f(x) + g(x)
{y∈R, -3 ≤ y ≤ 3}
{y∈R, -1 ≤ y ≤ 1}
{y∈R, 2 ≤ y ≤ 4}
{y∈R}
16
If f(x) and g(x) are both odd functions, then what type of function is y = (fg)(x)?
odd
neither
even
17
True or False? cos ( x + y ) = cos x + cos y
Distributive property
False
True
18
An equivalent trigonometric expression for tan ( - x ) is
tan x
- cot x
cot x
- tanx
19
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)
20
True or False? log (x ± y) = log x ± log y
False
True
21
The x-intercept of the function y = -4 log (x+3) is
3
-4
-3
-2
22
Ferris wheel height is h(t)=16sin(0.032t)+18, where t is in seconds. What is the wheel radius?
18
-2
16
34
23
Convert to degrees: 3π / 4 .
135°
34°
45°
145º
24
True or False? cos 2θ = 1 - 2 cos
2
θ
True
False
25
Bonus
3
: Sin(gerine) / cos (gerine) =
tan(gerine)
tangerine
26
Evaluate log
4
16
5
64
262 144
20
10
27
Bonus
2
: Given a standard deck of cards, find the probability of drawing a three or a red card?
15/26
7/13
1/26
1/2
28
What is the remainder when x
4
+ 2x
2
- 3x + 7 is divided by x + 2?
37
25
9
13
