Final Exam - MCR 3U

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R-formula and Trigonometry

Ved Ryan Tan

Math Averages

Ved Lisa Zluticky

We can move

Ved Ana Gayte Diego

FUNCTIONS

Ved Jasraj Gill - David Suzuki SS (2662)

Final Exam - MCR 3U

Factoring Quadratics (20%)

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solve a quadratic that involves

The quadratic formula

be able to use the discriminant

a tricky trinomial

0=4x2+4x+1

simpe trinomial

0=x2+5x+6

a differnce of squares

0=16x2-25

the main functions (30%)

identify domain and range

of an exponential function

y=2(x+3)+4

of a trig function

y=3sin(2(x+60))+5

of a quadratic

y=(x-2)2+3

be able to create an inverse function

what is the inverse of y=(x-3)^2. Identify the domain and range

what is the inverse of y=2x+5

identify functions or relations

stupid set notation

straight line test

identify the key points for each type of function

y=sqrt(x)

y=sin(x)

be able to state the ratios for the special angles

istem speed test

be able to model with trig functions

be able to create a function with a prescribed amplitude, period, phase shoft and vertical displacement

y=x2

be able to solve using various techniques

y=Bx

be able to work with 1/2 lives

coleum, a medical isotope used to control evil legs, has a 1/2 life of 12 hours. Create a function to model the amount of coleum at time t, A(t), given the initial amount Ao

coleum a medical isotope has a 1/2 life of 12 hours. What percentage is left after 4 days?

transformations (50%)

be able to create a function that includes transformations

What is the equation of y=2x after: Stretching from the y axis by a factor of 3 Compressing towards the x axis by a factor of 2 translating right 3 units translating down 2 units

Explain algrbarically why certain tranformations are identical

why is y=4x2 a stretch from the x axis by a factor of 4, algebraically similar to y=(2x)2, a compression towards the x-axis by a facotr of 2

be able to draw the transformed function

identify what happens to key points under transformation