f(x) = –2x² + 4x – 5
(a) Find the coordinates of the vertex.
(b) Find the equation of the axis of symmetry.
(c) Find the domain and range.
(d) Find the maximum or minimum.
(e) Find the intervals over which f is increasing or decreasing.
(f) Sketch the graph.
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Solve the problem.An oil storage tank can be described as the volume generated by revolving the area bounded by
about the x-axis. Find the volume
of the tank.
A. 2.12 m3 B. 655 m3 C. 95.4 m3 D. 31.8 m3
Solve the given inequality (a related function is graphed). ? 0
A. (-?, -1) ? [0, 1) B. (-1, 0) ? (1, ?) C. (-1, 0] ? (1, ?) D. (-1, ?)
Solve.36x2 + 16y2 = 5764y + 6x = 24
A. (0, 4), (6, 0) B. (0, -4), (0, -6) C. (0, 6), (4,0) D. (0, -6), (-4, 0)
Solve the problem.Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 26 pounds of feed worth $0.56 per pound by mixing one kind worth $0.30 per pound with another worth $0.91 per pound. How many pounds of the cheaper kind should they use in the mix? Round your answer to the nearest pound, if necessary.
A. 17 pounds B. 15 pounds C. 16 pounds D. 11 pounds