Polynomial Functions
For a polynomial function, this term (often written n in the function) describes the highest exponent on the variable x
What is degree?
This type of rational function has the form 1/p(x), where p(x) is a polynomial function.
What is a reciprocal function?
This is the area of a sector of a circle with radius 4 cm, subtended by an angle of pi/3 radians.
What is 8 pi/3 cm2?
It is the inverse of a logarithmic function.
What is an exponential function?
The term IROC is an anagram for this term.
What is instantaneous rate of change?
This process allows us to take a polynomial in standard form (y = anxn + an-1xn-1+...+ a1x + a0) and rewrite it as the product of the roots of the polynomial.
What is factoring?
This is the equation of the vertical asymptote for the rational function y = (x+2)/(x-2).
What is x = 2?
These are the only trigonometric ratios that have no x-intercepts.
What are secant and cosecant?
This expression is the simplified form of (1/4)log2(x8) - log8(x9) + log4(x4).
What is log2(x)?
When f(x)=1/(x+1) and g(x) = log2(x), it is the value of g(f(1)).
What is -1?
This theorem states that for a polynomial function P(x), if P(b/a) = 0, then ax-b is a factor of P(x).
What is the factor theorem?
The end behaviour of the rational function f(x)=(x3+x+1)/(x2+1) has this feature.
What is an oblique asymptote?
It is the solution to the equation 4 sin2x = 3.
What are pi/3 and 2pi/3?
It is how many times more intense a rock concert, which has a loudness of 110 dB, is than a normal conversation, which has a loudness of 60 dB.
What is 100,000 times more intense?
This is the instantaneous rate of change at t=2s when a rock is thrown from a 120 m tall cliff and its height above the ground is described by h = -5t2 + 10t + 120.
What is -10 m/s?
For the family of functions y = k(x+1)(x-2)2(x-3), it is the value of k for the specific function that passes through the point (1, 20).
What is k = -5?
It is the solution to the equation (x+2)/(x+3) = (6-x)/(x2+1).
What is x = 2?
It is the equation of an cosine function with a maximum value of 3, a minimum value of -1, a period of 4pi, and no phase shift.
What is y = 2 cos(0.5 x) + 1?
This is the amount of 36 mg of radioactive hydrogen that is left after it has decayed 32 years. the half-life of radioactive hydrogen is 12.5 years.
What is 6.1 mg?
When f(x)=1/(x+1) and g(x) = log2(x), domain of f(g(x)).
What is {xER, x>0, x != 1/2}?