Sketch the graph of the function and find the domain and range.f(x) = -3(x + 3)2 - 2
A. domain: all real numbers
range: y ? -2
B. domain: all real numbers
range: y ? -2
C. domain: all real numbers
range: y ? 3
D. domain: all real numbers
range: y ? -2
Answer: D
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Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 5.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. B. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. C. Yes, integration is not possible without knowing the initial position. D. No, displacement has nothing to do with the position of the body.
Solve the equation.-8.4 + 3x - 6.7 + 4x - 2.2 = 5.7 + 8x + 1.2
A. {-10.4} B. {24.2} C. {10.4} D. {-24.2}
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.(-4x3y)4
A. (-4)4x7y4 B. -16x3y C. -16x3y4 D. (-4)4x12y4
Use half-angle identities to find the exact value of the expression.sin 
A. 
B. 
C. 
D. 
