MHF4UI Advanced Functions Review Jan 2019

What is the remainder when x⁴ + 2x² - 3x + 7 is divided by x + 2?

Given the functions f(x) = 3x - 2 and g(x) = 5^x, determine the value of f(g(1))

How many cubic functions have zeros - 10, - 5, and 4?

Bonus₂: Given a standard deck of cards, find the probability of drawing a three or a red card?

Expand (3x+2)²

True or False? cos 2θ = 1 - 2 cos²θ

Bonus₁: Everyday you should...

If f(x) and g(x) are both odd functions, then what type of function is y = (fg)(x)?

Determine the exact value of csc π.

Ferris wheel height is h(t)=16sin(0.032t)+18, where t is in seconds. What is the wheel radius?

Which function has opposite end behaviours?

An equivalent trigonometric expression for tan ( - x ) is

What is true about the function f ( x ) = (x - 3) ^-1 as x → +∞

Given functions f(x)=sinx and g(x)=3, find the range of the combined function y = f(x) + g(x)

Bonus₃: Sin(gerine) / cos (gerine) =

Determine the period of the sinusoidal function y = 0.75 cos (π x) - 2017

Evaluate log ₄ 16⁵

The leading coefficient of a quartic function is 3. The constant difference is equal to:

The x-intercept of the function y = -4 log (x+3) is

Convert to degrees: 3π / 4 .

True or False? log (x ± y) = log x ± log y

Bonus₄: The Great First Nations Chief and Father of Trigonometry (not really) is:

Which compound angle expression is equivalent to cosx cosy + sinx siny ?

A polynomial function f(x) is decreasing on an interval a < b if

True or False? cos ( x + y ) = cos x + cos y

Simplify sin ( π - θ ).

Determine the approximate degree measure for an angle of 1.32 radians.

The degree of f(x)=x²+x³+x⁴ is: