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ahrayia [7]
3 years ago
8

Which function has the smallest minimum? (5 points)

Mathematics
1 answer:
Andrej [43]3 years ago
4 0
f(x) has the smallest minimum. The minimum value of f(x) is -3

The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.

The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)

The smallest that h(x) can get is y = 3 as shown by the point (1,3)

See the attachment for a visual comparison of the three functions. 

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\fbox{y=4}

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