In the unit circle the hypotenuse of the triangle formed is equal to radius of circle , which = 1. The point on the circle formed by the intersection of the hypotenuse is (cos q , sin q) where q is the angle between the x axis and the hypotenuse. As the hypotenuse = 1 the opposite and adjacent sides of the triangle < 1 so sin and cos of q must both be <= 1.
g(x) has a greater rate of change in the interval 0<=x<=2.
The graph increases from -4 to -1, a change of +3
The table increases from 5 to 13, a change of +8.
One foot = 12 inches.
32 feet = x inches
x/12=32/1
so
x=12*32/1 inches per second^2
Answer: Choice D
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Work Shown:
|2x - 6| < 4
-4 < 2x - 6 < 4
-4 + 6 < 2x - 6 + 6 < 4 + 6
2 < 2x < 10
2/2 < 2x/2 < 10/2
1 < x < 5
Plot open circles at x = 1 and x = 5 on the same number line
The shading will be in between the two open circles
That is why the answer is choice D
