From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing.
A. Down, (3, 9), x = 3, (-?, 9], max 9, inc (0, 9], dec (-?, 0]
B. Down, (3, 9), x = 9, [3, ?), max 9, inc (-?, 3], dec [3, ?)
C. Down, (3, 9), x = 9, [9, ?), max 9, inc (-?, 3], dec [3, ?)
D. Down, (3, 9), x = 3, (-?, 9], max 9, inc (-?, 3], dec [3, ?)
Answer: D
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Provide an appropriate response.Find any local extrema (maxima, minima, or saddle points) of given that
and
A. Saddle point at
B. Local minimum at
C. Saddle point at
D. Local maximum at
Solve the problem.Find the value of x so that the shaded figure is a gnomon to the white triangle.
A. 36 B. 24 C. 39 D. 26 E. none of these
Graph the function.f(x) =
A.
B.
C.
D.
Express the given function H as a composition of two functions f and g such that H(x) = (f ? g)(x).H(x) =
A. f(x) = , g(x) = x2 - 8
B. f(x) = , g(x) = x - 8
C. f(x) = , g(x) = x2 - 8
D. f(x) = , g(x) = -