janinemiz04 janinemiz04
  • 13-06-2021
  • Mathematics
contestada

13. The function y=16 cos(x)+k has a minimum value of -4. What is its maximum value? Explain.

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joaobezerra joaobezerra
  • 19-06-2021

Answer:

It's maximum value is 28.

Step-by-step explanation:

Cosine function:

The cosine function has the following format:

[tex]f(x) = A\cos{x}[/tex]

The difference between the maximum and minimum point is 2A.

y=16 cos(x)+k

A = 16, so 2A = 32.

Minimum value of -4. What is its maximum value?

[tex]M - (-4) = 32[/tex]

[tex]M + 4 = 32[/tex]

[tex]M = 32 - 4 = 28[/tex]

It's maximum value is 28.

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