Math
Give an example of a concave-up function using a logarithm.
(Answers Will Vary)
- logb(x)
The equation for rate of change.
Accept either:
What is f(x2)-f(x1) over x2-x1 ?
or
What is y2-y1 over x2-x1 ?
This parent function would work best in a real-world situation, in which output values over successive equal-length input-values, increase/decrease constantly.
What is a linear function?
This man rued that Soviet influence extended from a line that he called the "Iron Curtain" The "Finest Hour" and "Blood, Toil, Tears, and Sweat" speeches were also delivered by this Prime Minister of the UK during WW2.
What is Winston Churchill?
What would be the concavity of x2 on the domain [0, ∞]
Concave Up
Log2(8)
What is log2(2)+log2(4)?
Which parent function would best fit in a model, in which the population of bacteria doubles in size.
What is an exponential function?
The cover of this album showed the Beatles in outlandish garb surrounded by a collage of more than 70 cultural figures.
What is 'Sergeant Pepper's Lonely Hearts Club Band?'
What is the limit statement for this equation?
f(x)=x2
As the limit of f of x increases/decreases without bound, x equals infinity.
Use a change of base to expand this log into the natural log.
log(100)
What is
ln(100)/ln(10)
A pie at a party every 30 minutes, is reduced by 2 slices, model a function after it, assuming there are 8 pieces.
What is 'f(x)=-2x+8?'
This troublesome fictional animal in the American sci-fi television series Star Trek, would be the main problem of the starship Enterprise in Season 2, Episode 15.
What is a Tribble?
What is the limit statement for this equation, as X increases without bound?
f(x)=2x+1.345
The limit of f of x, as x increases without bound, equals 1.345.
log36(6) equals this number.
What is one-half?
A car's value starts at 17500, but increases by 12%, after 30 years. On the domain [30, ∞), create an equation that models this best, not taking into account the first 30 years.
f(x)=17500*(0.88)x-30
Until the 1970’s, some of the nation’s strictest “blue laws” prohibited any store, except Jewish owned ones, from operating on Sundays in this state home to the Charter Oak.
What is Connecticut?
Divide 10x2+11x-6 by 2x-3
What is the equation, 5x+2?
An equation has a vertical asymptote at x=3 and x=1, a horizontal asymptote at y=0, a hole at x=2, and a zero at -5. Make a possible equation for it.
The simplest equation is
(x-2)(x+5)
-------------
(x-3)(x-1)(x-2)
A scientist finds a new element and names it Estonium, and notices that the element has a half-life of 10 seconds. Form an equation in which, t is equal to seconds, and models the half-life of the new element, starting with 1250 grams.
f(x)=1250(1/2)^(t/10)
Question will be spoken, standard quiz bowl rules.
What is Gambling?