find the domain of the function and express it in
interval notation. f(t) = (t+5)/(t^2+1)
What is (-inf, inf)
100
solve the equation for y; x=3y-6
What is y=0.3x+2
100
What type of transformation leaves the size and shape of a graph unchanged?
What is rigid transformation
100
Volume of a Right Circular Cylinder Solve for h:
V = (Pi)r^2h
What is h=V/((Pi)r^2)
200
When a positive change in x results in a negative change in f(x)
What is when a function is decreasing.
200
find (fog)(3)
f(x)=2x-3; g(x)=x+1
hint: find the composite function then substitute 3
What is 5; -6
200
find the (x, y) pair for the value of the
parameter; x =3t and y=t^2 for t=2
What is (6,9)
200
What translations happen to a graph f(x) when y = f(x-c)+d
What is right c units and up d units
200
Write a mathematical expression for: The area of a rectangle whose length is 12 more than its width x.
What is (x+12)(x) OR x^2+12x
300
Find all values of x algebraically for which the
algebraic expression is not defined x/(x-16)
What is x=16
300
Which of the ordered pairs (5, 1), (3, 4), and (0, ?5) are in the relation given by x^2 + y^2 =25?
What is (3,4) (0,-5)
300
What is the inverse of the
function f(x)=3x - 2?
What is g(x)=(x+2)/3
300
Write as a binomial squared:
4x^2-20x+25
What is (2x-5)^2
300
At a shirt sale, Jackson sees two shirts that he likes
equally well. Which is the cheaper shirt, and why?
Shirt A: 40% off of $33
Shirt B: 25% off of $27
What is Shirt A is $19.80 Shirt B is $20.25; Shirt A is the cheaper shirt because it costs less.
400
Using any method (including a calculator) find the asymptotes of the equation (x^2 + 2)/(x^2 - 1)
What is y=1;x=1;x=-1
400
If f(x)=x - 7 and g(x) = sqrt(4 - x), what is
the domain of the function f/g?
(A) (-inf, 4) (B) (-inf, 4] (C) (4,inf)
(D) [4,inf) (E) (4, 7)?(7,inf)
What is A
400
In May of 2002 the exchange rate for
converting U.S. dollars ?(x) to euros (y) was y = 1.08x
In the spring of 2002, a tourist had an elegant lunch in
Provence, France ordering from a “fixed price” 48-euro menu.
How much was that in U.S. dollars?
What is $44.44
400
Given a function ƒ, which of the following
represents a vertical stretch by a factor of 3?
(A) y = ƒ(3x)
(B) y = ƒ(x/3)
(C) y = 3ƒ(x)
(D) y = ƒ(x)/3
(E) y = ƒ(x) + 3
What is C
400
Is linear regression is useful for modeling the
position of an object in free fall. Justify your answer
What is No, an object in free fall speeds up exponentially (if you neglect air friction).
OR
What is Yes, when an object hits terminal velocity it remains at a constant speed, this is linear.
500
Which function is not continuous?
(A) Your altitude as a function of time while flying from Reno to
Dallas
(B) Time of travel from Miami to Pensacola as a function of driving speed
(C) Number of balls that can fit completely inside a particular box
as a function of the radius of the balls
(D) Area of a circle as a function of radius
(E) Weight of a particular baby as a function of time after birth
What is C
500
Jake stores a small cache of 4-inch diameter snowballs in the basement freezer, unaware that the freezer’s self-defrosting feature will cause each snowball to lose about 1 cubic inch of volume every 40 days. He remembers them a year later (call it 360 days) and goes to retrieve them. What is their diameter then?
What is 3.6 in
500
Find a direct algebraic relationship between x and y.
x = 2t and y = 3t - 1
What is y=(3/2)x-1
500
y = |x|?: a shift left 2 units, then a vertical stretch by a factor of 2, and finally a shift down 4 units.
What is y = 2|x + 2| - 4
500
A tire of a moving bicycle has radius 16 in.
If the tire is making 2 rotations per second, find the bicycle’s
speed in miles per hour.