Graph the function using a graphing utility and the Change-of-Base Formula.y = logx-3(x + 3)
A. 
B. 
C. 
D. 
Answer: B
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Determine the equation of the vertical asymptote for the graph of this function, and state the domain and range of this function.f(x) = ln(x - 2) + 5
A. Vertical asymptote: x = 2; Domain: (-?, 2), Range: (-?, ?) B. Vertical asymptote: x = 5; Domain: (5, ?), Range: (-?, ?) C. Vertical asymptote: x = 2; Domain: (2, ?), Range: (-?, ?) D. Vertical asymptote: x = -5; Domain: (-?, -5), Range: (-?, ?)
Solve the problem.From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
A. 10 in. × 10 in. × 5 in.; 500 in3 B. 13.3 in. × 13.3 in. × 3.3 in.; 592.6 in3 C. 13.3 in. × 13.3 in. × 6.7 in.; 1185.2 in3 D. 6.7 in. × 6.7 in. × 6.7 in.; 296.3 in3
Solve the problem.Evaluate 
at (u, v) = (2, 3) for the function w(x, y) = xy2 - ln x; x = eu+v, y = uv.
A. 48e5 - 1 B. 60e5 - 1 C. -1 D. 108e5 - 1
Provide an appropriate response.A student is trying to solve the equation (x + 9)(x - 6) = 6. The student has set x + 9 = 6 and x - 6 = 6 and found that two solutions x = -3, x = 12. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?
What will be an ideal response?