[meteor_slideshow slideshow=”arp1″]
Determine the intervals on which the following function is increasing or decreasing, and any relative maxima or minima.
1). –|x + 5| – 3
Find the domain and range of the following piecewise function.
2). é –x + 2, for x £ 0
f(x) = {
ë x – 3, for x > 0
Given that f(x) = 1/x and g(x) = , find the following, and determine the domain of each.
3). ( f / g )(x)
4). ( g – f )(x)
Find ( f ° g )(x) and ( g ° f )(x) (these are composite functions), and the domain of each.
1 x + 2
5). f(x) = ———- , g(x) = ———-
x – 2 x
Determine whether the following functions are even, odd, or neither even nor odd.
6). f(x) = |x – 2| + 3
x2 + 1
7). ————–
x3 – 1
Write an equation for the following functions that has a graph with the following given characteristics.
8). The shape of y = x3, but shifted right 5 units and shifted down 11 units.
9). The shape of y = x2, but stretched horizontally by a factor of two, and shifted down 3 units.
10). The volume V of a given mass of a gas varies directly as the temperature T, and inversely as the pressure P. If the volume V = 231 cm3 when the temperature T = 42° and pressure P = 20 gm/cm2, then what is the volume when T = 30° and P = 15 gm/cm2.
1). Wind resistance, or atmospheric drag, tends to slow down moving objects. Atmospheric drag varies jointly as an object’s surface area and velocity v. If a car traveling at a speed of 40 mph with a surface area of 37.8 ft2 experiences a drag of 222N (Newtons), then how fast must a car with 51 ft2 of surface area travel in order to experience a drag force of 430 N?
[meteor_slideshow slideshow=”arp2″]
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