Graph the function and analyze it for domain, range, continuity, increasing or decreasing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = 
What will be an ideal response?
The domain is all real numbers, and the range is (0, 8). The function is continuous and increasing on its domain. The graph is symmetric about 
, but neither even nor odd. It is bounded below and above. There are no local extrema. The horizontal asymptotes are y = 0 and y = 8. The end behavior is described by 
f(x) = 0 and 
f(x) = 8.
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Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = 
- 
, where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.
A. PV = 
; PT = 
- 
B. PV = - 
+ 
; PT = 
C. PV = 
- 
; PT = 
D. PV = 
- 
; PT = 
Simplify.81 ÷ 3 + {7 ? [18 - (7 ? 2)]}
A. 58 B. 45 C. 55 D. 50
Evaluate the expression.-2431/5
A. 243 B. 81 C. -27 D. -3
Solve the system of equations.
A. x = z + 2 y = 2 - z z = any real number B. x = 2 - z y = z + 2 z = any real number C. inconsistent (no solution) D. x = z + 2 y = z - 2 z = any real number