Polynomial Functions
What is the maximum number of turning points a polynomial function of degree 4 can have?
3
According to the Remainder Theorem, what is the remainder when P(x) = x² - 5x + 6 is divided by (x - 1)?
What is 2?
What is the domain restriction for the parent function f(x) = logb(x)?
What is x>0?
What is sin2x + cos2x.
What is 1?
What is the finite difference of the equation f(x) = -2x4 + 3x³ - 5x
-48
If testing a polynomial reveals that P(-3) = 0, what is the binomial factor?
What is (x+3)?
Express log(a) + log(b) - log(c) as a single logarithm.
What is log(ab/c)?
Convert the angle 360 degrees to radians.
What is 2pi?
What would be the end behaviour of the function f(x) = 4x + 6x - 7?
Q3 to Q1
Solve the polynomial inequality (x - 1)(x - 3)(x + 2) < 0?
What is x<-2 and 1<x<3?
Evaluate the exact value of log3(27) + log5(1).No calculator.
What is 3?
What is the phase shift from the cosine equation y = 5cos(2(x -(pi/4)) + 2?
What is pi/4?
What is the parent function of the equation, g(x) = -(1/3x + 2)4 - 1
f(x) = x4
For the cubic function P(x) = 2x3 - 3x2 - 11x + 6, you know (x - 3) is a factor. What are the other two remaining x-intercepts?
What is x = 0.5 and -2?
Rewrite the power as a logarithmic function. 43 = 64.
What is log464 = 3?
Which single trigonometric function is equivalent to the compound formula expression sin(3x)cos(x) + cos(3x)sin(x)?
What is sin(4x)?
In the situation where -f(1) = f(-1), would this be an odd or even function.
What is an odd function?
Solve the exponential equation 32x - 4(3x) + 3 = 0 for all real values of x
What is x = 0 and x = 1?
A sound source at a concert has an intensity level of 40dB. If the intensity of the sound is increased by a factor of exactly 100(I2/I1), what is the increased intensity.
What is 60dB?
Find the exact value of cos(2π/3) in decimal form.
What is 0.5?