Question

Will mark brainliest! Please show work.

Answer 1

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.

Answer 2

Answer:

h(x)

Step-by-step explanation:

You actually don't need to show that much work.

g(x) minimum is 6 due to the vertex being shown(3,6)

h(x) minimum is 5 because you can see that is it the y value on the chart

f(x) minimum is 7 ; to find this you do 11-4 = 7(Yes, it is that easy)

Thus, your resulting answer is h(x).