Answer:
h(x) has the smallest minimum.
Step-by-step explanation:
f(x) = -4sin(x-0.5) + 11
y = sin(x – 0.5) has minima at y = -1.
y = -4sin(x – 0.5) has minima at y = -4.
y = sin(x – 0.5) + 11 has minima at y = 7.
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According to your graph,
g(x) has a minimum at y = 6.
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According to your table,
h(x) has a minimum at y = 5.
Thus, h(x) has the smallest minimum.
The graph below shows the minima of f(x) at y = 7 and the minimum of h(x) at y = 5.
