The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).g(x) = f
; (5, -8)
A.
B. (40, 8)
C.
D. (-40, -8)
Answer: D
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Find the average rate of change of the function over the given interval. f(x) = 4x2,
A. -
B. 7
C. 2
D.
Use a graphing calculator to estimate the local maximum and local minimum values of the function to the nearest hundredth.y = 3x3 - 4x2 - 6x + 2
A. Local max: (-0.48, 3.68); local min: (1.38, -6.15) B. Local max: (-0.48, 3.63); local min: (1.38, -6.01) C. Local max: (-6.01, 1.38); local min: (3.63, -0.48) D. Local max: (-0.44, 3.61); local min: (1.45, -5.97)
Solve the linear inequality. Express the solution using set-builder notation and interval notation. Graph the solution set.8x - 6 ? 7x - 6
A. {x|x ? 0}; [0, ?)
B. {x|x ? 1}; (-?, 1]
C. {x|x ? 12}; [12, ?)
D. {x|x > - 12}; (- 12, ?)
A woman at a point A on the shore of a circular lake with radius 4mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible time. She can walk at the rate of 6mi/h and row a boat at 2mi/h. How should she proceed? (Find ?). Round the result, if necessary, to the nearest hundredth.