anonymous
  • anonymous
Functions f(x) and g(x) are shown below: Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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bibby
  • bibby
waiting on the graphs
anonymous
  • anonymous
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anonymous
  • anonymous
What's the graph of f(x)?

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anonymous
  • anonymous
f(x) = −4(x − 6)2 + 3
FortyTheRapper
  • FortyTheRapper
Have you learned about the First Derivative Test?
SolomonZelman
  • SolomonZelman
Normally when you say \(\color{#000000 }{ \displaystyle y=\cos(x) }\) Then, \(\color{#000000 }{ \displaystyle-1
SolomonZelman
  • SolomonZelman
And in fact, even if you say that \(\color{#000000 }{ \displaystyle y=\cos[a(x)] }\) Then, the cosine is also going to be between -1 and 1
SolomonZelman
  • SolomonZelman
So, the maximum of \(\color{#000000 }{ \displaystyle y=\cos[a(x)] }\) or, \(\color{#000000 }{ \displaystyle y=\cos[x] }\) would be?
SolomonZelman
  • SolomonZelman
Based on your answer to this question, you have to multiply that maximum times 2 (since your cosine function is multiplied times a scale factor of 2), and shift your maximum by 4 units up (since the cosine function you are dealing with is shifted 4 units up).
SolomonZelman
  • SolomonZelman
For \(\color{#000000 }{ \displaystyle -4(x - 6)^2 + 3 }\), it is an opening down parabola, and it's maximum is the vertex (which can be foun by completing the square, or graphing).
anonymous
  • anonymous
thank you!

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