Functions
Polynomial Functions
Trig & Rational Functions
Trig ID. & Log Functions
Pop Quiz
100
For each point on a function, state the corresponding point on the inverse relation. f(5)=7
(7, 5)
100
Describe the transformations that were applied to y=x^2 to obtain the following function. y = 40 (-7(x-10))^2 + 9
Vertically stretched by a factor of 40, Reflected in the y-axis, Horizontally compressed by a factor of 1/7, Horizontally translated 10 units to the right, Verticality translated 9 units up.
100
State the reciprocal of the function and determine the location of any vertical asymptotes. f(q) = -4q + 6
(1)/(-4q + 6); q = 3/2
100
State the trigonometric ratio that is equivalent to the following ratio. -cos(8π/7)
cos(π/3); 1/2
100
What is sin(3π/4)?
1/√2
200
Identity the interval of increase/decrease, the symmetry, and the domain and range of each function. f(x)= x^2 + 2
Interval of Decrease: (-∞, 0) Interval of Increase: (0, ∞) Symmetry: Even Domain: x€R Range: (f(x)€R|f(x)>-11)
200
The divisor was divided in to another polynomial, resulting in the given quotient and remainder. Determine the dividend. Divisor: 3x^2 + x - 5 Quotient: x^4 - 4x^3 + 9x - 3 Remainder: 2x - 1
3x^6 - 11x^5 - 9x^4 + 47x^3 - 46x + 14
200
For the rational equation, write a function whose zeros are the solution. (x+3)/(x-1) = 0
x = 5
200
Use the compound angle formula to determine a trigonometric expression that is equivalent to the following expression. cos(x-(5π/4))
-(√2/2)cosx - (√2/2)sinx
200
Find the inverse of 5x^2 + 2
+/- √((x-2)/5)
300
y = 5x^2 + 3x + 7 Use your calculator to estimate the instantaneous rate of change for x = 2
23
300
Calculate the following using long division. (2x^3 + 5x^2 + 3x - 4)/(x + 5)
2x^2 - 5x + 28 Remainder: -144
300
Estimated the slope of the line that is tangent to each function at the given point. What point is it not possible to draw a tangent line. f(x) = (x+3)/(x-3) , where x = 4
-6 ; x = 3
300
Determine the solutions for the equation, to two decimal places, on the interval 0 ≤ x ≤ 2π. 5 cos x - √3 = 3 cos x
x = 0.52 & x = 5.76
300
What is the amplitude of y = 5sinx after 3 rounds? a - 25 b - 50 c - 1 d - all of the above e - none of the above
e - none of the above
400
An investment's value, V(t), is modeled by the function V(t) = 2500(1.15)^t, where t is the number of years after funds are invested. Find the instantaneous rate of change in the value of the investment at t = 4.
611.15
400
Divide the polynomial by x + 2 using synthetic division. 3x^3 + 13x^2 + 17x + 3
(x+2)(3x^2 + 7x + 3) Remainder: -3
400
Use the algebraic process to find the solution set of each inequality. (55)/(x + 16) > -x
-16 < x < -11 & -5 < x
400
Solve the following equation: log(4x-1) = log(x+1) +log2
1.5
400
If my denominator is bigger than by numerator, which asymptote will it be: a - oblique b - vertical c - balanced
b - vertical
500
Explain how the instantaneous rates of change differ on either side of a MAXIMUM/MINIMUM point of a function.
To the left of a maximum, the instantaneous rates of change are positive. To the right, the instantaneous rates of change are negative. To the left of a minimum, the instantaneous rates of change are negative. To the right, the instantaneous rates of change are positive.
500
Without dividing, determine the remainder when x^3 + 2x^2 - 6x + 1 is divided by x + 2.
13
500
State the transformations that have been applied to f(x) = cosx to obtain the following function. f(x) = 10/11cos(x-(π/9)) + 3 π = pi
Horizontal compression by a factor of 1/10, Horizontal translation π/12 to the left.
500
Solve the following equations: log√(x^2 - 1) = 2
+/- √(10001)
500
Bonus!!!! What is the name of our teacher and which country is she from?
Ms. Loo and Malaysia
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