Chapter 5
Chapter 6 (1 - 5)
Chapter 6 (6 - 9)
Wild Card
Wilder Card
100
Find the x- and y-intercepts of f.
f(x) = (x - 5)(x - 6)
(5.1) x-intercepts: 5, 6
y-intercept: 30
100
Use the horizontal line test to determine whether the function is one-to-one.
(6.2) One-to-one
100
The size P of a small herbivore population at time t (in years) obeys the function if they have enough food and the predator population stays constant. After how many years will the population reach 1,800?
(6.8) 3.65 years
100
Solve the equation.
36 - 5x = 27 + 4x
(1.1) x = 1
100
What planet is closest to the sun?
Mercury
200
Find the domain of the rational function.
g(x) =
(5.3) {x|x ≠ -1, x ≠ 2}
200
Change the exponential expression to an equivalent expression involving a logarithm.
8^5/3 = 32
(6.4) log(8)32 =
200
$12,000 invested at 10% compounded quarterly after a period of 5 years
(6.7) $19,663.40
200
Solve the problem.
If (3, b) is a point on the graph of 3x - 2y = 17, what is b?
(2.2) -4
200
Who painted the Mona Lisa?
Leonardo da Vinci
300
Solve the inequality.
(b + 7)(b + 5)(b + 4) < 0
(5.5) (-∞, -7) or (-5, -4)
300
For the given functions f and g, find the requested composite function value.
f(x) = 2x + 2, g(x) = 4x2 + 3;Find (g ∘ g)(1).
(6.1) 199
300
Solve the problem.
f(x) = log(4)(x + 3) and g(x) = log(4)(2x - 7).
Solve f(x) = g(x).
(6.6) {10}, (10, log4(13))
300
Determine whether the given function is linear or nonlinear.
(4.1) Linear
300
Which US state is nicknamed "the Garden State"?
New Jersey
400
The amount of water (in gallons) in a leaky bathtub is given in the table below. Using a graphing utility, fit the data to a third degree polynomial (or a cubic). Then approximate the time at which there is maximum amount of water in the tub, and estimate the time when the water runs out of the tub. Express all your answers rounded to two decimal places.
(5.2) maximum amount of water after 5.31 minutes; water runs out after 8.23 minutes
400
Solve the equation. ^x+1=
^x-1
(The caret sign means that it is an exponent)
(6.3)
400
A thermometer reading is placed inside a cold storage room with a constant temperature of
If the thermometer reads
in 10 minutes, how long before it reaches
Assume the cooling follows Newton's Law of Cooling:
U = T + (Uo - T)ekt.
(Round your answer to the nearest whole minute.)
(6.8) 65 minutes
400
Write the standard form of the equation of the circle.
(2.4) (x - 4)^2 + (y - 3)^2 = 25
400
Where in the human body are the anvil and stirrup located?
Ear
500
Give the equation of the oblique asymptote, if any, of the function.
f(x) =
(5.4) y = 2x - 1
500
Express as a single logarithm.
54 log(6) + log(6)(54x8) - log(6) 54
(6.5) log(6) x17
500
Solve the problem.
A mechanic is testing the cooling system of a boat engine. He measures the engine's temperature over time. Use a graphing utility to fit a logistic function to the data. What is the carrying capacity of the cooling system?
(6.9) y = , 315°F
500
Solve the problem.
A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 111 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.
(3.6) V(r) = π(111 - r)r^2 + πr^3
500
How long is a “jiffy”?
One trillionth of a second