Graph the parabola. Identify the vertex, axis, domain and range.f(x) = -x2 + 2x - 4
A. Vertex: (1, -7); Axis: x = 1;
Domain: (-?, ?); Range: [-5, ?)
B. Vertex: (1, -3); Axis: x = 1;
Domain: (-?, ?); Range: (-?, -3]
C. Vertex: (-1, -5); Axis: x = -1;
Domain: (-?, ?); Range: [-5, ?)
D. Vertex: (1, -7); Axis: x = 1;
Domain: (-?, ?); Range: [-5, ?)
Answer: B
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Use the Comparison Test to determine if the series converges or diverges.
A. converges B. diverges
Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.y = x + cos 2x, 0 ? x ? ?
A. local minimum: (1.444, -0.246)
local maximum: (0.126, 1.031)
inflection points: (0.785, 0.393), (2.356, 1.178)
B. local minimum: 
local maximum: 
inflection point: 
C. no local extrema
inflection point: 
D. local minimum: 
local maximum: 
inflection points: 
, 
Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 
A. f(x) = 
- 
+ 
(sin x - sin 2x + . . .)
B. f(x) = 
- 
+ 
(sin x - sin 2x + . . .)
C. f(x) = 
- 
+ 
(sin x - sin 2x + . . .)
D. f(x) = 
- 
+ 
(sin x - sin 2x + . . .)
Solve the problem.The amount of money in an account is given by 
where P is the principal invested, r is the interest rate (as a decimal), and t is the time of the investment. Find the amount at the end of 2 years if $600 is invested at 5%. Round to the nearest cent.
A. $1,350.00 B. $630.00 C. $900.00 D. $661.50