Compare the following functions:

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Compare the following functions:

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f(x) = –4sin(x - 0.5) + 11
h(x) x y –2 14 –1 9 0 6 1 5 2 6 3 9 4 14
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Which function has the smallest minimum? All three functions have the same minimum f(x) g(x) h(x)
Can you find the minimum of f(x)?
value of sin(x) can only be in between -1 to 1 inclusive, right?
Can you find the minimum of f(x)?
idk how to
You know, value of sin(x) can only be between 1 to -1 So value of -4sin(x) can only be in between 4 and -4 Since we want min value, we would go with -4, right? min[ f(x) ] = -4 + 11 = ?
I meant 7
yeah, so min value of f(x) is 7. What about g(x)?
idk that one too...
hey @geerky42 can you help me with the rest?
So far, the minimum value of f(x) is 7 of h(x) is 5 now you need g(x) right?
look at y value of the vertex. that is minimum of g(x) |dw:1433039067433:dw|
I messed up, hold on. f(x) is 7 and g(x) is 6. I need help with h(x)
same, just look at y column, which value is smallest?
|dw:1433039181701:dw|
oh 5
yup , then compare
f(x) is 7 g(x) is 6 h(x) is 5 So the answer would be D, h(x)
yuuuuuuuuuuuuuuuuup

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