Problem 1 is correct. See figure 1 (attached) for the graphs. You'll see that h(x) has the largest y intercept.
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Problem 2 is correct. The rates of change for f(x), g(x) and h(x) respectively are: 16, -0.5, 12 (in that order)
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Problem 3 is correct. The function f(x) has at most 3 x intercepts. The function g(x) visually is showing 4 x intercepts. For h(x), we have 2 x intercepts on the interval [0,2pi].
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Problem 4 is incorrect. The answer is actually choice D) f(x) and h(x) since they are both trig functions with the same min and max (they hit the peaks and valleys at the same y values). Note how one function is merely a phase shift of the other. See figure 2 (attached).
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Problem 5 is incorrect. The answer is h(x) because the lowest point is (1,-6). See figure 3 (attached). The point D = (1,-6) is the lowest point.
