Grade 11 Functions Review

Trigonometry

100

The exact value for Tan60º

What is √3

200

When is the ambiguous case considered?

When the problem gives two sides and an angle for an oblique triangle

300

Convert degrees into Radian measure

270˚

what is 3π/2

400

The point (-1,-4) lies on the arm in standard position, Determine the exact value of COS

What is
-1/√17

500

Solve triangle DEF and all other possible triangles
D=38˚ d=12cm e=18cm

<E=67.4˚
<F=74.6˚
f=18.8cm

<E=29.4˚
<F=112.6˚
f= 9.6 cm

Trigonometric Functions

100

True or False

The sin curve points are:
Max, 0, Min, 0 Max

False

200

Find the Amplitude and the Period of the following

y=-3cos[4(x-45)]+4

Amp= -3
Period= 180

300

Find the Min and Max of the following
y= 4 sin (x+5)

Min= 1

Max= 9

400

Determine the transformations of the curve

y=-3cos [4(x-90)]+4

Reflected in the x axis

Vertical stretch by a factor of 3

Horizontal compression by a factor of 1/4

Phase shift 90º right

Translated 4 units up

500

The population (P) of a town in Ontario is modled using the equation p=4500sin[25(t-6)]+9500 and where (t) is the number of months after new years

Determine the population in the month of July

The town has a population of 11402 in July

Exponential Functions

100

Simplify
 (2t²S)(-6t³S²)

-12t⁵S³

200

Simplify
(6x^-2y)(-9x^-5y^-2)
--------------------
(3x²y^-4)

18y³
----
 x⁹

300

simplify
(3√x²)(4√x³)

x17
  --
  12

400

Describe the transformations made:
y=(-3)^0.25(x-2)

Reflection on x axis
Horizontal stretch by factor of 4
Translated 2 units right

500

Write the equation for a transformed exponential function whose asymptote is y=3 with a y intercept of -2 and a base of 4

y=-5(4)^x+3

Discrete Functions

100

Determine the A and D value:

10, 13, 16,...

A=10

D=3

200

what is the 6th row of Pascal's Triangle

1 6 15 20 15 6 1

300

How many terms are in the sequence -4,2,8,..., 140

What is 25

400

Find the sum of the arithmetic series given the first and last term
a=5
t₃₀=150

What is 21025

500

Expand the following:

(2x-y)⁶

What is:

64x⁶-192x⁵y+240x⁴y²-160x³y³+60x²y⁴-12xy⁵+y⁶

Functions

100

State the Domain and range of the following:

{(-1,3), (0,4), (1,5), (2,6)}

Domain = {-1,0,1,2}
Range = {3,4,5,6}

200

Determine the Domaine

y=√x-8

D= {XER/x>= 8}

300

Solve by completing the square:

3x²-6x+3=0

x=1⁺_-√2

400

Determine the exact equation of a parabola with zeros at 2+- √5 and passes through (1,-2)

y=1/2x²-2x¹₂

500

Find the POI between y=-2x²-5x and y=6x-1

(-7,-43)

(3/2 ,8)