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For the function f(x)=5sin(2x/3)-7, which of the following represents the difference between its maximum and minimum values?

Science & Mathematics by Anonymous 2018-05-18 11:07:14

Social Science

For the function f(x)=5sin(2x/3)-7, which of the following represents the difference between its maximum and minimum values?

5 answers

-2 , 5, 10, or 12?

  • Anonymous

    amp = (max-min)/2 max-min = 2 * amp = 2*5 = 10

  • Anonymous

    f(x) = 5 sin (2x/3) - 7 has an amplitude of 5. That means from its baseline, the sine function goes up 5 units and down 5 units, so the difference between it's maximum and minimum values is 5+5=10................ANS

  • Anonymous

    10 That's five times the difference of sin(x)

  • Anonymous

    f'(x) = 5(2/3)cos(2x/3) = 0 cos(2x/3) = 0 2x/3 = π/2 or 3π/2 x = 3π/4 or 9π/4 f(3π/4) = -2 (maximum) f(9π/4) = -12 (minimum) Answer 10 See Graph https://www.desmos.com/calculator/pjo6ja...

  • Anonymous

    It is a sinusoidal function. The difference between maximum and minimum is twice the amplitude. 2(5) = 10

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